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Current Topics in Complex Algebraic Geometry

Current Topics in Complex Algebraic Geometry
Author: Charles Herbert Clemens
Publisher: Cambridge University Press
Total Pages: 180
Release: 1995
Genre: Mathematics
ISBN: 9780521562447

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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.


Complex Geometry

Complex Geometry
Author: Daniel Huybrechts
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2005
Genre: Computers
ISBN: 9783540212904

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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)


Complex Algebraic Geometry

Complex Algebraic Geometry
Author: Kichoon Yang
Publisher: CRC Press
Total Pages: 301
Release: 1991-08-02
Genre: Mathematics
ISBN: 9780824785918

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A textbook for second-year graduate students who are familiar with algebraic topology, function theory, and elementary differential geometry. The collection of seminar notes constitutes an introduction to complex algebraic geometry, focusing on its transcendental aspect. Annotation copyright Book Ne


Recent Advances in Algebraic Geometry

Recent Advances in Algebraic Geometry
Author: Christopher D. Hacon
Publisher: Cambridge University Press
Total Pages: 451
Release: 2015-01-15
Genre: Mathematics
ISBN: 110764755X

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


Complex Algebraic Geometry

Complex Algebraic Geometry
Author: János Kollár
Publisher: American Mathematical Soc.
Total Pages: 340
Release: 1997
Genre: Mathematics
ISBN: 0821811452

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The IAS/Park City Summer Mathematics Institute is one of the most prestigious and well-respected events in the mathematics field. These topics all feature presentations by leading experts and are geared towards graduate students, mathematics faculty, and professional mathematicians.


Complex Algebraic Curves

Complex Algebraic Curves
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
Total Pages: 278
Release: 1992-02-20
Genre: Mathematics
ISBN: 9780521423533

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This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.


Algebraic Geometry

Algebraic Geometry
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
Total Pages: 511
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475738498

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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.


Semidefinite Optimization and Convex Algebraic Geometry

Semidefinite Optimization and Convex Algebraic Geometry
Author: Grigoriy Blekherman
Publisher: SIAM
Total Pages: 487
Release: 2013-03-21
Genre: Mathematics
ISBN: 1611972280

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


Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry
Author: David Eisenbud
Publisher: Cambridge University Press
Total Pages: 303
Release: 2015-11-19
Genre: Mathematics
ISBN: 110714972X

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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.


Current Developments in Algebraic Geometry

Current Developments in Algebraic Geometry
Author: Lucia Caporaso
Publisher: Cambridge University Press
Total Pages: 437
Release: 2012-03-19
Genre: Mathematics
ISBN: 052176825X

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