Quasi Projective Moduli For Polarized Manifolds

Download Quasi Projective Moduli For Polarized Manifolds full books in PDF, epub, and Kindle. Read online Quasi Projective Moduli For Polarized Manifolds ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Quasi-projective Moduli for Polarized Manifolds

Author : Eckart Viehweg
Publisher : Springer Science & Business Media
ISBN 13 : 3642797458
Total Pages : 329 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis Quasi-projective Moduli for Polarized Manifolds by : Eckart Viehweg

Download or read book Quasi-projective Moduli for Polarized Manifolds written by Eckart Viehweg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of moduli goes back to B. Riemann, who shows in [68] that the isomorphism class of a Riemann surface of genus 9 ~ 2 depends on 3g - 3 parameters, which he proposes to name "moduli". A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only been given recently (A. Grothendieck, D. Mumford, see [59]), as well as solutions in some cases. It is the aim of this monograph to present methods which allow over a field of characteristic zero to construct certain moduli schemes together with an ample sheaf. Our main source of inspiration is D. Mumford's "Geometric In variant Theory". We will recall the necessary tools from his book [59] and prove the "Hilbert-Mumford Criterion" and some modified version for the stability of points under group actions. As in [78], a careful study of positivity proper ties of direct image sheaves allows to use this criterion to construct moduli as quasi-projective schemes for canonically polarized manifolds and for polarized manifolds with a semi-ample canonical sheaf.

Classification of Higher Dimensional Algebraic Varieties

Author : Christopher D. Hacon
Publisher : Springer Science & Business Media
ISBN 13 : 3034602901
Total Pages : 220 pages
Book Rating : 4.0/5 (346 download)

DOWNLOAD NOW!

Book Synopsis Classification of Higher Dimensional Algebraic Varieties by : Christopher D. Hacon

Download or read book Classification of Higher Dimensional Algebraic Varieties written by Christopher D. Hacon and published by Springer Science & Business Media. This book was released on 2011-02-02 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.

Classification of Algebraic Varieties

Author : Carel Faber
Publisher : European Mathematical Society
ISBN 13 : 9783037190074
Total Pages : 356 pages
Book Rating : 4.1/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Classification of Algebraic Varieties by : Carel Faber

Download or read book Classification of Algebraic Varieties written by Carel Faber and published by European Mathematical Society. This book was released on 2011 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating and surprising developments are taking place in the classification of algebraic varieties. The work of Hacon and McKernan and many others is causing a wave of breakthroughs in the minimal model program: we now know that for a smooth projective variety the canonical ring is finitely generated. These new results and methods are reshaping the field. Inspired by this exciting progress, the editors organized a meeting at Schiermonnikoog and invited leading experts to write papers about the recent developments. The result is the present volume, a lively testimony to the sudden advances that originate from these new ideas. This volume will be of interest to a wide range of pure mathematicians, but will appeal especially to algebraic and analytic geometers.

Higher Dimensional Varieties and Rational Points

Author : Károly Jr. Böröczky
Publisher : Springer Science & Business Media
ISBN 13 : 3662051230
Total Pages : 307 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Higher Dimensional Varieties and Rational Points by : Károly Jr. Böröczky

Download or read book Higher Dimensional Varieties and Rational Points written by Károly Jr. Böröczky and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.

Algebraic Geometry

Author : Dan Abramovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821847031
Total Pages : 539 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Geometry by : Dan Abramovich

Download or read book Algebraic Geometry written by Dan Abramovich and published by American Mathematical Soc.. This book was released on 2009 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers information on various technical tools, from jet schemes and derived categories to algebraic stacks. This book delves into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. It describes various advances in higher-dimensional bi rational geometry.

Geometry and Topology of Manifolds

Author : Akito Futaki
Publisher : Springer
ISBN 13 : 4431560211
Total Pages : 348 pages
Book Rating : 4.4/5 (315 download)

DOWNLOAD NOW!

Book Synopsis Geometry and Topology of Manifolds by : Akito Futaki

Download or read book Geometry and Topology of Manifolds written by Akito Futaki and published by Springer. This book was released on 2016-06-03 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson conjecture in Kähler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.

K3 Surfaces and Their Moduli

Author : Carel Faber
Publisher : Birkhäuser
ISBN 13 : 331929959X
Total Pages : 399 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis K3 Surfaces and Their Moduli by : Carel Faber

Download or read book K3 Surfaces and Their Moduli written by Carel Faber and published by Birkhäuser. This book was released on 2016-04-22 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics. K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry. Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.

Global Aspects of Complex Geometry

Author : Fabrizio Catanese
Publisher : Springer Science & Business Media
ISBN 13 : 3540354808
Total Pages : 508 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Global Aspects of Complex Geometry by : Fabrizio Catanese

Download or read book Global Aspects of Complex Geometry written by Fabrizio Catanese and published by Springer Science & Business Media. This book was released on 2006-09-29 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

Complex Geometry

Author : Ingrid Bauer
Publisher : Springer Science & Business Media
ISBN 13 : 3642562027
Total Pages : 357 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!

Book Synopsis Complex Geometry by : Ingrid Bauer

Download or read book Complex Geometry written by Ingrid Bauer and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of research papers dedicated to Hans Grauert on the occasion of his seventieth birthday. Hans Grauert is a pioneer in modern complex analysis, continuing the il lustrious German tradition in function theory of several complex variables of Weierstrass, Behnke, Thullen, Stein, Siegel, and many others. When Grauert came on the scene in the early 1950's, function theory was going through a revolutionary period with the geometric theory of complex spaces still in its embryonic stage. A rich theory evolved with the joint efforts of many great mathematicians including Oka, Kodaira, Cartan, and Serre. The Car tan Seminar in Paris and the Kodaira Seminar provided important venues an for its development. Grauert, together with Andreotti and Remmert, took active part in the latter. In his career he has nurtured a great number of his own doctoral students as well as other young mathematicians in his field from allover the world. For a couple of decades his work blazed the trail and set the research agenda in several complex variables worldwide. Among his many fundamentally important contributions, which are too numerous to completely enumerate here, are: 1. The complete clarification of various notions of complex spaces. 2. The solution of the general Levi problem and his work on pseudo convexity for general manifolds. 3. The theory of exceptional analytic sets. 4. The Oka principle for holomorphic bundles. 5. The proof of the Mordell conjecture for function fields. 6. The direct image theorem for coherent sheaves.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Author : Sirakov Boyan
Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!

Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan

Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Period Mappings and Period Domains

Author : James Carlson
Publisher : Cambridge University Press
ISBN 13 : 1108422624
Total Pages : 577 pages
Book Rating : 4.1/5 (84 download)

DOWNLOAD NOW!

Book Synopsis Period Mappings and Period Domains by : James Carlson

Download or read book Period Mappings and Period Domains written by James Carlson and published by Cambridge University Press. This book was released on 2017-08-24 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

Modular And Automorphic Forms & Beyond

Author : Hossein Movasati
Publisher : World Scientific
ISBN 13 : 9811238693
Total Pages : 323 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Modular And Automorphic Forms & Beyond by : Hossein Movasati

Download or read book Modular And Automorphic Forms & Beyond written by Hossein Movasati and published by World Scientific. This book was released on 2021-10-12 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called 'Gauss-Manin connection in disguise'.

Proceedings of the International Conference on Algebra Dedicated to the Memory of A.I. Malcev

Author : Leonid A. Bokut'
Publisher : American Mathematical Soc.
ISBN 13 : 0821851381
Total Pages : 666 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Proceedings of the International Conference on Algebra Dedicated to the Memory of A.I. Malcev by : Leonid A. Bokut'

Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A.I. Malcev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 1989, more than 700 Soviet algebraists and more than 200 foreign mathematicians convened in Novosibirsk in what was then the Soviet Union for the International Conference on Algebra. Dedicated to the memory of A.I. Mal'cev, the Russian algebraist and logician, the conference marked the first time since the International Congress of Mathematicians was held in Moscow in 1966 that Soviet algebraists could meet with a large number of their foreign colleagues. This volume contains the proceedings from this historic conference. Some of the Soviet contributors to this volume are not easily available from other sources. Some of the major figures in the field, including P.M. Cohn, P. Gabriel, N. Jacobson, E.R. Kolchin, and V. Platonov, contributed to this volume. The papers span a broad range of areas including groups, Lie algebras, associative and nonassociative rings, fields and skew fields, differential algebra, universal algebra, categories, combinatorics, logic, algebraic geometry, topology, and mathematical physics.

Moduli of Curves

Author : Joe Harris
Publisher : Springer Science & Business Media
ISBN 13 : 0387227377
Total Pages : 369 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Moduli of Curves by : Joe Harris

Download or read book Moduli of Curves written by Joe Harris and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry. It develops many techniques, including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory, with the focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, illustrates typical applications with the proofs of the Brill-Noether and Gieseker-Petri theorems via limit linear series, and surveys the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.

Compactifying Moduli Spaces

Author : Paul Hacking
Publisher : Birkhäuser
ISBN 13 : 3034809212
Total Pages : 135 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Compactifying Moduli Spaces by : Paul Hacking

Download or read book Compactifying Moduli Spaces written by Paul Hacking and published by Birkhäuser. This book was released on 2016-02-04 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps. Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.

ICM-90 Satellite Conference Proceedings

Author : Akira Fujiki
Publisher : Springer Science & Business Media
ISBN 13 : 4431681728
Total Pages : 265 pages
Book Rating : 4.4/5 (316 download)

DOWNLOAD NOW!

Book Synopsis ICM-90 Satellite Conference Proceedings by : Akira Fujiki

Download or read book ICM-90 Satellite Conference Proceedings written by Akira Fujiki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference "Algebraic Geometry and Analytic Geometry, Tokyo 1990" was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co., from August 13 through August 17, 1990, under the co-sponsorship of the Mathematical Society of Japan. It was one of the satellite conferences of ICM90, Kyoto, and approximately 300 participants, including more than 100 from overseas, attended the conference. The academic program was divided into two parts, the morning sessions and the afternoon sessions. The morning sessions were held at Tokyo Metropolitan University, and two one-hour plenary lectures were delivered every day. The afternoon sessions at the Tokyo Training Center, intended for a more specialized audience, consisted of four separate subsessions: Arithemetic Geometry, Algebraic Geometry, Analytic Geometry I and Analytic Geometry II. This book contains papers which grew out of the talks at the conference. The committee in charge of the organization and program consisted of A. Fujiki, K. Kato, T. Katsura, Y. Kawamata, Y. Miyaoka, S. Mori, K. Saito, N. Sasakura, T. Suwa and K. Watanabe. We would like to take this opportunity to thank the many mathematicians and students who cooperated to make the conference possible, especially Professors T. Fukui, S. Ishii, Y. Kitaoka, M. Miyanishi, Y. Namikawa, T. Oda, F. Sakai and T. Shioda for their valuable advice and assistance in organizing this conference. Financial support was mainly provided by personal contributions from Professors M.

Advances in Moduli Theory

Author : Kenji Ueno
Publisher : American Mathematical Soc.
ISBN 13 : 9780821821565
Total Pages : 328 pages
Book Rating : 4.8/5 (215 download)

DOWNLOAD NOW!

Book Synopsis Advances in Moduli Theory by : Kenji Ueno

Download or read book Advances in Moduli Theory written by Kenji Ueno and published by American Mathematical Soc.. This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The word ``moduli'' in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters. This work gave birth to the theory of moduli. However, the viewpoint regarding a Riemann surface as an algebraic curve became the mainstream,and the moduli meant the parameters for the figures (graphs) defined by equations. In 1913, H. Weyl defined a Riemann surface as a complex manifold of dimension one. Moreover, Teichmuller's theory of quasiconformal mappings and Teichmuller spaces made a start for new development of the theory ofmoduli, making possible a complex analytic approach toward the theory of moduli of Riemann surfaces. This theory was then investigated and made complete by Ahlfors, Bers, Rauch, and others. However, the theory of Teichmuller spaces utilized the special nature of complex dimension one, and it was difficult to generalize it to an arbitrary dimension in a direct way. It was Kodaira-Spencer's deformation theory of complex manifolds that allowed one to study arbitrary dimensional complex manifolds.Initial motivation in Kodaira-Spencer's discussion was the need to clarify what one should mean by number of moduli. Their results, together with further work by Kuranishi, provided this notion with intrinsic meaning. This book begins by presenting the Kodaira-Spencer theory in its original naiveform in Chapter 1 and introduces readers to moduli theory from the viewpoint of complex analytic geometry. Chapter 2 briefly outlines the theory of period mapping and Jacobian variety for compact Riemann surfaces, with the Torelli theorem as a goal. The theory of period mappings for compact Riemann surfaces can be generalized to the theory of period mappings in terms of Hodge structures for compact Kahler manifolds. In Chapter 3, the authors state the theory of Hodge structures, focusingbriefly on period mappings. Chapter 4 explains conformal field theory as an application of moduli theory. This is the English translation of a book originally published in Japanese. Other books by Kenji Ueno published in this AMS series, Translations of Mathematical Monographs, include An Introduction toAlgebraic Geometry, Volume 166, Algebraic Geometry 1: From Algebraic Varieties to Schemes, Volume 185, and Algebraic Geometry 2: Sheaves and Cohomology, Volume 197.