Current Topics in Complex Algebraic Geometry PDF Download
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Author: Charles Herbert Clemens
Publisher: Cambridge University Press
ISBN: 9780521562447
Category : Mathematics
Languages : en
Pages : 180
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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.
Author: Charles Herbert Clemens
Publisher: Cambridge University Press
ISBN: 9780521562447
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
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.
Author: Daniel Huybrechts
Publisher: Springer Science & Business Media
ISBN: 9783540212904
Category : Computers
Languages : en
Pages : 336
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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)
Author: Kichoon Yang
Publisher: CRC Press
ISBN: 9780824785918
Category : Mathematics
Languages : en
Pages : 301
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Book Description
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
Author: Christopher D. Hacon
Publisher: Cambridge University Press
ISBN: 110764755X
Category : Mathematics
Languages : en
Pages : 451
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Book Description
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 9780521423533
Category : Mathematics
Languages : en
Pages : 278
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Book Description
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.
Author: János Kollár
Publisher: American Mathematical Soc.
ISBN: 0821811452
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Lecture notes from the Third Summer Session of the Regional Geometry Institute, held in Park City, Utah, in 1993.
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category : Mathematics
Languages : en
Pages : 511
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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.
Author: Grigoriy Blekherman
Publisher: SIAM
ISBN: 1611972280
Category : Mathematics
Languages : en
Pages : 487
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Book Description
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Author: Amnon Neeman
Publisher: Cambridge University Press
ISBN: 0521709830
Category : Mathematics
Languages : en
Pages : 433
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Book Description
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
Author: Mihai Putinar
Publisher: Springer Science & Business Media
ISBN: 0387096868
Category : Mathematics
Languages : en
Pages : 382
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Book Description
Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.
