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Current Topics in Complex Algebraic Geometry

Current Topics in Complex Algebraic Geometry PDF Author: Charles Herbert Clemens
Publisher: Cambridge University Press
ISBN: 9780521562447
Category : Mathematics
Languages : en
Pages : 180

Book Description
The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. The editors of the volume, Herbert Clemens and János Kollár, chaired the organizing committee. This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years.

Current Topics in Complex Algebraic Geometry

Current Topics in Complex Algebraic Geometry PDF Author: Charles Herbert Clemens
Publisher: Cambridge University Press
ISBN: 9780521562447
Category : Mathematics
Languages : en
Pages : 180

Book Description
The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. The editors of the volume, Herbert Clemens and János Kollár, chaired the organizing committee. This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years.

Recent Advances in Algebraic Geometry

Recent Advances in Algebraic Geometry PDF Author: Christopher D. Hacon
Publisher: Cambridge University Press
ISBN: 110764755X
Category : Mathematics
Languages : en
Pages : 451

Book Description
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

Complex Geometry

Complex Geometry PDF Author: Daniel Huybrechts
Publisher: Springer Science & Business Media
ISBN: 9783540212904
Category : Computers
Languages : en
Pages : 336

Book Description
Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Current Developments in Algebraic Geometry

Current Developments in Algebraic Geometry PDF Author: Lucia Caporaso
Publisher: Cambridge University Press
ISBN: 052176825X
Category : Mathematics
Languages : en
Pages : 437

Book Description
This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.

Complex Analysis and Algebraic Geometry

Complex Analysis and Algebraic Geometry PDF Author: Kunihiko Kodaira
Publisher: CUP Archive
ISBN: 9780521217774
Category : Mathematics
Languages : en
Pages : 424

Book Description
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.

Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry PDF Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 110714972X
Category : Mathematics
Languages : en
Pages : 303

Book Description
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 2 focuses on the most recent research.

Algebraic Geometry

Algebraic Geometry PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category : Mathematics
Languages : en
Pages : 511

Book Description
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Complex Algebraic Geometry

Complex Algebraic Geometry PDF Author: János Kollár
Publisher: American Mathematical Soc.
ISBN: 0821811452
Category : Mathematics
Languages : en
Pages : 354

Book Description
Lecture notes from the Third Summer Session of the Regional Geometry Institute, held in Park City, Utah, in 1993.

Algebraic Geometry over the Complex Numbers

Algebraic Geometry over the Complex Numbers PDF Author: Donu Arapura
Publisher: Springer Science & Business Media
ISBN: 1461418097
Category : Mathematics
Languages : en
Pages : 326

Book Description
This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

Semidefinite Optimization and Convex Algebraic Geometry

Semidefinite Optimization and Convex Algebraic Geometry PDF Author: Grigoriy Blekherman
Publisher: SIAM
ISBN: 1611972280
Category : Mathematics
Languages : en
Pages : 487

Book Description
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.