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Author : H. Popp
Publisher : Springer
ISBN 13 : 3540378774
Total Pages : 341 pages
Book Rating : 4.5/5 (43 download)
Download or read book Classification of Algebraic Varieties and Compact Complex Manifolds written by H. Popp and published by Springer. This book was released on 2006-11-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Popp
Publisher :
ISBN 13 : 9783662163870
Total Pages : 348 pages
Book Rating : 4.1/5 (638 download)
Download or read book Classification of Algebraic Varieties and Compact Complex Manifolds written by H. Popp and published by . This book was released on 2014-01-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Ueno
Publisher : Springer
ISBN 13 : 3540374159
Total Pages : 296 pages
Book Rating : 4.5/5 (43 download)
Download or read book Classification Theory of Algebraic Varieties and Compact Complex Spaces written by K. Ueno and published by Springer. This book was released on 2006-11-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenji Ueno
Publisher : Springer
ISBN 13 : 9780387071381
Total Pages : 278 pages
Book Rating : 4.0/5 (713 download)
Download or read book Classification Theory of Algebraic Varieties and Compact Complex Spaces written by Kenji Ueno and published by Springer. This book was released on 1975-01-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Sundararaman
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 download)
Download or read book Moduli, Deformations, and Classifications of Compact Complex Manifolds written by D. Sundararaman and published by Pitman Publishing. This book was released on 1980 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Barth
Publisher : Springer
ISBN 13 : 3642577393
Total Pages : 439 pages
Book Rating : 4.6/5 (425 download)
Download or read book Compact Complex Surfaces written by W. Barth and published by Springer. This book was released on 2015-05-22 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.
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 : Christopher D. Hacon
Publisher : Springer Science & Business Media
ISBN 13 : 3034602901
Total Pages : 220 pages
Book Rating : 4.0/5 (346 download)
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.
Author : H. Popp
Publisher : Springer
ISBN 13 : 3540370315
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)
Download or read book Moduli Theory and Classification Theory of Algebraic Varieties written by H. Popp and published by Springer. This book was released on 2006-11-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kunihiko Kodaira
Publisher : CUP Archive
ISBN 13 : 9780521217774
Total Pages : 424 pages
Book Rating : 4.2/5 (177 download)
Download or read book Complex Analysis and Algebraic Geometry written by Kunihiko Kodaira and published by CUP Archive. This book was released on 1977 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.
Author : Igor R. Shafarevich
Publisher : Springer Science & Business Media
ISBN 13 : 3642380107
Total Pages : 262 pages
Book Rating : 4.6/5 (423 download)
Download or read book Basic Algebraic Geometry 2 written by Igor R. Shafarevich and published by Springer Science & Business Media. This book was released on 2013-08-31 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.
Author : Jaume Amor?os
Publisher : American Mathematical Soc.
ISBN 13 : 0821804987
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fundamental Groups of Compact Kahler Manifolds written by Jaume Amor?os and published by American Mathematical Soc.. This book was released on 1996 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of what is currently known about the fundamental groups of compact Kähler manifolds. This class of groups contains all finite groups and is strictly smaller than the class of all finitely presentable groups. For the first time ever, this book collects together all the results obtained in the last few years which aim to characterize those infinite groups which can arise as fundamental groups of compact Kähler manifolds. Most of these results are negative ones, saying which groups don not arise. The methods and techniques used form an attractive mix of topology, differential and algebraic geometry, and complex analysis. The book would be useful to researchers and graduate students interested in any of these areas, and it could be used as a textbook for an advanced graduate course. One of its outstanding features is a large number of concrete examples. The book contains a number of new results and examples which have not appeared elsewhere, as well as discussions of some important open questions in the field.
Author : Thomas Peternell
Publisher : Birkhäuser
ISBN 13 : 3034888937
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)
Download or read book Geometry of Higher Dimensional Algebraic Varieties written by Thomas Peternell and published by Birkhäuser. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.
Author : Shiing-shen Chern
Publisher : Springer
ISBN 13 : 9780387904221
Total Pages : 172 pages
Book Rating : 4.9/5 (42 download)
Download or read book Complex Manifolds without Potential Theory written by Shiing-shen Chern and published by Springer. This book was released on 1979-06-18 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
Author : Noboru Nakayama
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.X/5 (4 download)
Download or read book Zariski-decomposition and Abundance written by Noboru Nakayama and published by . This book was released on 2004-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Hartshorne
Publisher : American Mathematical Soc.
ISBN 13 : 082181429X
Total Pages : 658 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry, Arcata 1974 written by Robin Hartshorne and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thanases Pheidas
Publisher : American Mathematical Soc.
ISBN 13 : 0821826220
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)
Download or read book Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry written by Thanases Pheidas and published by American Mathematical Soc.. This book was released on 2000 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a meeting that took place at the University of Ghent (Belgium) on the relations between Hilbert's tenth problem, arithmetic, and algebraic geometry. Included are written articles detailing the lectures that were given as well as contributed papers on current topics of interest. The following areas are addressed: an historical overview of Hilbert's tenth problem, Hilbert's tenth problem for various rings and fields, model theory and local-global principles, including relations between model theory and algebraic groups and analytic geometry, conjectures in arithmetic geometry and the structure of diophantine sets, for example with Mazur's conjecture, Lang's conjecture, and Bücchi's problem, and results on the complexity of diophantine geometry, highlighting the relation to the theory of computation. The volume allows the reader to learn and compare different approaches (arithmetical, geometrical, topological, model-theoretical, and computational) to the general structural analysis of the set of solutions of polynomial equations. It would make a nice contribution to graduate and advanced graduate courses on logic, algebraic geometry, and number theory
