Classification Of Algebraic Varieties
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Author |
: Christopher D. Hacon |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 206 |
Release |
: 2011-02-02 |
ISBN-10 |
: 9783034602907 |
ISBN-13 |
: 3034602901 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Classification of Higher Dimensional Algebraic Varieties by : Christopher D. Hacon
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 |
: Ciro Ciliberto |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 434 |
Release |
: 1994 |
ISBN-10 |
: 9780821851791 |
ISBN-13 |
: 0821851799 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Classification of Algebraic Varieties by : Ciro Ciliberto
This volume contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. The papers discuss a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered are algebraic curve theory, algebraic surface theory, the theory of minimal models, braid groups and the topology of algebraic varieties, toric varieties. In addition to algebraic geometers, theoretical physicists in some areas will find this book useful. The book is also suitable for an advanced graduate course in algebraic geometry, as it provides an overview of areas of current research.
Author |
: Carel Faber |
Publisher |
: European Mathematical Society |
Total Pages |
: 356 |
Release |
: 2011 |
ISBN-10 |
: 3037190078 |
ISBN-13 |
: 9783037190074 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Classification of Algebraic Varieties by : Carel Faber
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.
Author |
: K. Ueno |
Publisher |
: Springer |
Total Pages |
: 296 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540374152 |
ISBN-13 |
: 3540374159 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Classification Theory of Algebraic Varieties and Compact Complex Spaces by : K. Ueno
Author |
: H. Popp |
Publisher |
: Springer |
Total Pages |
: 341 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540378778 |
ISBN-13 |
: 3540378774 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Classification of Algebraic Varieties and Compact Complex Manifolds by : H. Popp
Author |
: H. Popp |
Publisher |
: Springer |
Total Pages |
: 196 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540370314 |
ISBN-13 |
: 3540370315 |
Rating |
: 4/5 (14 Downloads) |
Synopsis Moduli Theory and Classification Theory of Algebraic Varieties by : H. Popp
Author |
: Takao Fujita |
Publisher |
: Cambridge University Press |
Total Pages |
: 223 |
Release |
: 1990 |
ISBN-10 |
: 9780521392020 |
ISBN-13 |
: 0521392020 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Classification Theories of Polarized Varieties by : Takao Fujita
A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarised higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or sur.
Author |
: CAREL FABER; GERARD VAN DER GEER; EDUARD LOOIJENGA. |
Publisher |
: |
Total Pages |
: 338 |
Release |
: |
ISBN-10 |
: 303719507X |
ISBN-13 |
: 9783037195079 |
Rating |
: 4/5 (7X Downloads) |
Synopsis Classification of Algebraic Varieties by : CAREL FABER; GERARD VAN DER GEER; EDUARD LOOIJENGA.
Fascinating and surprising developments are taking place in the classification of algebraic varieties. 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 of 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.
Author |
: Thomas Peternell |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 228 |
Release |
: 1997-03-20 |
ISBN-10 |
: 3764354909 |
ISBN-13 |
: 9783764354909 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Geometry of Higher Dimensional Algebraic Varieties by : Thomas Peternell
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 |
: H. Popp |
Publisher |
: |
Total Pages |
: 348 |
Release |
: 2014-01-15 |
ISBN-10 |
: 366216387X |
ISBN-13 |
: 9783662163870 |
Rating |
: 4/5 (7X Downloads) |
Synopsis Classification of Algebraic Varieties and Compact Complex Manifolds by : H. Popp