Classification Of Algebraic Varieties
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Classification Of Algebraic Varieties
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Author : Ciro Ciliberto
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Classification Of Algebraic Varieties written by Ciro Ciliberto and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
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.
Classification Of Algebraic Varieties
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Author : Carel Faber
language : en
Publisher: European Mathematical Society
Release Date : 2011
Classification Of Algebraic Varieties written by Carel Faber and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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.
Classification Theory Of Algebraic Varieties And Compact Complex Spaces
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Author : K. Ueno
language : en
Publisher: Springer
Release Date : 2006-11-15
Classification Theory Of Algebraic Varieties And Compact Complex Spaces written by K. Ueno and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Computers categories.
Classification Of Algebraic Varieties And Compact Complex Manifolds
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Author : H. Popp
language : en
Publisher: Springer
Release Date : 2006-11-15
Classification Of Algebraic Varieties And Compact Complex Manifolds written by H. Popp and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Classification Of Higher Dimensional Algebraic Varieties
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Author : Christopher D. Hacon
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-27
Classification Of Higher Dimensional Algebraic Varieties written by Christopher D. Hacon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-27 with Mathematics categories.
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.
Birational Geometry Of Algebraic Varieties
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Author : Janos Kollár
language : en
Publisher: Cambridge University Press
Release Date : 2008-02-04
Birational Geometry Of Algebraic Varieties written by Janos Kollár and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-04 with Mathematics categories.
One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.
Classification Of Algebraic Varieties And Compact Complex Manifolds
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Author : H. Popp
language : en
Publisher:
Release Date : 2014-01-15
Classification Of Algebraic Varieties And Compact Complex Manifolds written by H. Popp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Classification Of Algebraic Varieties
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Author : CAREL FABER; GERARD VAN DER GEER; EDUARD LOOIJENGA.
language : en
Publisher:
Release Date :
Classification Of Algebraic Varieties written by CAREL FABER; GERARD VAN DER GEER; EDUARD LOOIJENGA. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algebraic varieties categories.
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.
Introduction To Singularities
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Author : Shihoko Ishii
language : en
Publisher: Springer
Release Date : 2014-11-19
Introduction To Singularities written by Shihoko Ishii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.
This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. Most of them were about non-singular varieties. Singularities were considered “bad” objects that interfered with knowledge of the structure of an algebraic variety. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dim ensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied.