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Author : Lawrence Ein
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.E/5 ( download)
Download or read book Projective Varieties, Linear Systems and Vector Bundles written by Lawrence Ein and published by . This book was released on 1994 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Hulek
Publisher : Springer
ISBN 13 : 3540467866
Total Pages : 184 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Algebraic Varieties written by Klaus Hulek and published by Springer. This book was released on 2006-11-14 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibrations revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski: Numerically effective vector bundles with small Chern classes.- C.A.M. Peters: On the rank of non-rigid period maps in the weight one and two case.- A.N. Tyurin: The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.
Author : Michael Francis Atiyah
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.3/5 (91 download)
Download or read book Vector Bundles on Algebraic Varieties written by Michael Francis Atiyah and published by Oxford University Press, USA. This book was released on 1987 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of the original papers presented at an international colloquium on Vector Bundles on Algebraic Varieties held at the Tata Institute of Fundamental Research in 1984. The purpose of the colloquium was to highlight recent developments in the general area of vector bundles as well asprincipal bundles on both affine and projective varieties. Projective modules and quadratic spaces over general rings were among the topics covered by the colloquium.
Author : Evgueni A. Tevelev
Publisher : Springer Science & Business Media
ISBN 13 : 3540269576
Total Pages : 257 pages
Book Rating : 4.5/5 (42 download)
Download or read book Projective Duality and Homogeneous Spaces written by Evgueni A. Tevelev and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras. It gives a very readable and thorough account and the presentation of the material is clear and convincing. For the most part of the book the only prerequisites are basic algebra and algebraic geometry. This book will be of great interest to graduate and postgraduate students as well as professional mathematicians working in algebra, geometry and analysis.
Author : Peter Falb
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641139
Total Pages : 408 pages
Book Rating : 4.6/5 (411 download)
Download or read book Methods of Algebraic Geometry in Control Theory: Part II written by Peter Falb and published by Springer Science & Business Media. This book was released on 1990 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations. The aim of this book is to provide access to the methods of algebraic geometry for engineers and applied scientists through the motivated context of control theory" .* The development which culminated with this volume began over twenty-five years ago with a series of lectures at the control group of the Lund Institute of Technology in Sweden. I have sought throughout to strive for clarity, often using constructive methods and giving several proofs of a particular result as well as many examples. The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry). While this is quite satisfactory and natural for scalar systems, the study of multi-input, multi-output linear time invariant control systems requires projective algebraic geometry. Thus, this second volume deals with multi-variable linear systems and pro jective algebraic geometry. The results are deeper and less transparent, but are also quite essential to an understanding of linear control theory. A review of * From the Preface to Part 1. viii Preface the scalar theory is included along with a brief summary of affine algebraic geometry (Appendix E).
Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
ISBN 13 : 9783540225331
Total Pages : 414 pages
Book Rating : 4.2/5 (253 download)
Download or read book Positivity in Algebraic Geometry I written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Author : Mauro Beltrametti
Publisher : Walter de Gruyter
ISBN 13 : 9783110143553
Total Pages : 424 pages
Book Rating : 4.1/5 (435 download)
Download or read book The Adjunction Theory of Complex Projective Varieties written by Mauro Beltrametti and published by Walter de Gruyter. This book was released on 1995 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Aix-Marseille Université, France Katrin Wendland, Trinity College Dublin, Dublin, Ireland Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Author : Mauro C. Beltrametti
Publisher : Walter de Gruyter
ISBN 13 : 3110871742
Total Pages : 421 pages
Book Rating : 4.1/5 (18 download)
Download or read book The Adjunction Theory of Complex Projective Varieties written by Mauro C. Beltrametti and published by Walter de Gruyter. This book was released on 2011-06-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : Robin Hartshorne
Publisher : Springer
ISBN 13 : 3540363459
Total Pages : 271 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ample Subvarieties of Algebraic Varieties written by Robin Hartshorne and published by Springer. This book was released on 2006-11-15 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicholas John Marino
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (114 download)
Download or read book Vector Bundles and Projective Varieties written by Nicholas John Marino and published by . This book was released on 2019 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector bundles play a prominent role in the study of projective algebraic varieties. Vector bundles can describe facets of the intrinsic geometry of a variety, as well as its relationship to other varieties, especially projective spaces. Additionally, being among the simplest examples of coherent sheaves, they can be manipulated by a wealth of technical machinery. Here we outline the general theory of vector bundles and describe their classification and structure. We also consider some special bundles and general results in low dimensions, especially rank 2 bundles and surfaces, as well as bundles on projective spaces. Finally, we indicate some open problems and current areas of research.
Author : C.I. Byrnes
Publisher : Springer Science & Business Media
ISBN 13 : 9400990820
Total Pages : 320 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometrical Methods for the Theory of Linear Systems written by C.I. Byrnes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures contained in this book were presented at Harvard University in June 1979. The workshop at which they were presented was the third such on algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years after the Ames meeting there was tremendous growth in the applications of algebraic geometry to systems theory and it was becoming clear that much of the algebraic systems theory was very closely related to the geometric systems theory. On this basis we felt that this was the right time to devote a workshop to the applications of algebra and algebraic geometry to linear systems theory. The lectures contained in this volume represent all but one of the tutorial lectures presented at the workshop. The lec ture of Professor Murray Wonham is not contained in this volume and we refer the interested to the archival literature. This workshop was jointly sponsored by a grant from Ames Research Center-NASA and a grant from the Advanced Study Institute Program of NATO. We greatly appreciate the financial support rendered by these two organizations. The American Mathematical Society hosted this meeting as part of their Summer Seminars in Applied Mathematics and will publish the companion volume of con tributed papers.
Author : Ciro Ciliberto
Publisher : Springer Science & Business Media
ISBN 13 : 9401010110
Total Pages : 343 pages
Book Rating : 4.4/5 (1 download)
Download or read book Applications of Algebraic Geometry to Coding Theory, Physics and Computation written by Ciro Ciliberto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.
Author : Piotr Pragacz
Publisher : European Mathematical Society
ISBN 13 : 9783037191149
Total Pages : 520 pages
Book Rating : 4.1/5 (911 download)
Download or read book Contributions to Algebraic Geometry written by Piotr Pragacz and published by European Mathematical Society. This book was released on 2012 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.
Author : Alexandre Wolfe
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Invariants of Graded Systems of Ideals and Linear Systems on Projective Bundles written by Alexandre Wolfe and published by . This book was released on 2005 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ciro Ciliberto
Publisher : Walter de Gruyter
ISBN 13 : 311019970X
Total Pages : 401 pages
Book Rating : 4.1/5 (11 download)
Download or read book Projective Varieties with Unexpected Properties written by Ciro Ciliberto and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed papers related to the lectures and talks given at a conference held in Siena (Italy) in June 2004. Also included are research papers that grew out of discussions among the participants and their collaborators. All the papers are research papers, but some of them also contain expository sections which aim to update the state of the art on the classical subject of special projective varieties and their applications and new trends like phylogenetic algebraic geometry. The topic of secant varieties and the classification of defective varieties is central and ubiquitous in this volume. Besides the intrinsic interest of the subject, it turns out that it is also relevant in other fields of mathematics like expressions of polynomials as sums of powers, polynomial interpolation, rank tensor computations, Bayesian networks, algebraic statistics and number theory.
Author : David Ellwood
Publisher : American Mathematical Soc.
ISBN 13 : 0821852051
Total Pages : 190 pages
Book Rating : 4.8/5 (218 download)
Download or read book Grassmannians, Moduli Spaces and Vector Bundles written by David Ellwood and published by American Mathematical Soc.. This book was released on 2011 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of cutting-edge articles on vector bundles and related topics originated from a CMI workshop, held in October 2006, that brought together a community indebted to the pioneering work of P. E. Newstead, visiting the United States for the first time since the 1960s. Moduli spaces of vector bundles were then in their infancy, but are now, as demonstrated by this volume, a powerful tool in symplectic geometry, number theory, mathematical physics, and algebraic geometry. In fact, the impetus for this volume was to offer a sample of the vital convergence of techniques and fundamental progress, taking place in moduli spaces at the outset of the twenty-first century. This volume contains contributions by J. E. Andersen and N. L. Gammelgaard (Hitchin's projectively flat connection and Toeplitz operators), M. Aprodu and G. Farkas (moduli spaces), D. Arcara and A. Bertram (stability in higher dimension), L. Jeffrey (intersection cohomology), J. Kamnitzer (Langlands program), M. Lieblich (arithmetic aspects), P. E. Newstead (coherent systems), G. Pareschi and M. Popa (linear series on Abelian varieties), and M. Teixidor i Bigas (bundles over reducible curves). These articles do require a working knowledge of algebraic geometry, symplectic geometry and functional analysis, but should appeal to practitioners in a diversity of fields. No specialization should be necessary to appreciate the contributions, or possibly to be stimulated to work in the various directions opened by these path-blazing ideas; to mention a few, the Langlands program, stability criteria for vector bundles over surfaces and threefolds, linear series over abelian varieties and Brauer groups in relation to arithmetic properties of moduli spaces.
Author : Elena Rubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110316234
Total Pages : 240 pages
Book Rating : 4.1/5 (13 download)
Download or read book Algebraic Geometry written by Elena Rubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-05-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is one of the most classic subjects of university research in mathematics. It has a very complicated language that makes life very difficult for beginners. This book is a little dictionary of algebraic geometry: for every of the most common words in algebraic geometry, it contains its definition, several references and the statements of the main theorems about that term (without their proofs). Also some terms of other subjects, close to algebraic geometry, have been included. It was born to help beginners that know some basic facts of algebraic geometry, but not every basic fact, to follow seminars and to read papers, by providing them with basic definitions and statements. The form of a dictionary makes it very easy and quick to consult.
