Transcendental Methods in Algebraic Geometry

Transcendental Methods in Algebraic Geometry PDF Author: Jean-Pierre Demailly
Publisher: Springer
ISBN: 3540496327
Category : Mathematics
Languages : en
Pages : 266

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Book Description

Transcendental Methods in Algebraic Geometry

Transcendental Methods in Algebraic Geometry PDF Author: Jean-Pierre Demailly
Publisher: Springer
ISBN: 3540496327
Category : Mathematics
Languages : en
Pages : 266

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Book Description


Transcendental Methods in Algebraic Geometry

Transcendental Methods in Algebraic Geometry PDF Author: Jean-Pierre Demailly
Publisher: Springer
ISBN: 9783540620389
Category : Mathematics
Languages : en
Pages : 0

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Transcendental Methods in Algebraic Geometry

Transcendental Methods in Algebraic Geometry PDF Author:
Publisher:
ISBN:
Category : Cell aggregation
Languages : en
Pages : 0

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Algebraic Geometry

Algebraic Geometry PDF 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.

Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106

Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 PDF Author: Phillip A. Griffiths
Publisher: Princeton University Press
ISBN: 140088165X
Category : Mathematics
Languages : en
Pages : 328

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Book Description
The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.

Periods and Special Functions in Transcendence

Periods and Special Functions in Transcendence PDF Author: Paula Tretkoff
Publisher: Wspc (Europe)
ISBN: 9781786342942
Category : Hypergeometric functions
Languages : en
Pages : 0

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Book Description
This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi-Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. It is a nice book for graduate students and researchers interested in transcendence.

The Arithmetic and Geometry of Algebraic Cycles

The Arithmetic and Geometry of Algebraic Cycles PDF Author: B. Brent Gordon
Publisher: Springer Science & Business Media
ISBN: 9780792361947
Category : Mathematics
Languages : en
Pages : 652

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Book Description
The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

Analytic Methods in Algebraic Geometry

Analytic Methods in Algebraic Geometry PDF Author: Jean-Pierre Demailly
Publisher:
ISBN: 9787040305319
Category :
Languages : en
Pages : 231

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Book Description


Algebraic Cycles and Hodge Theory

Algebraic Cycles and Hodge Theory PDF Author: Mark L. Green
Publisher: Springer
ISBN: 3540490469
Category : Mathematics
Languages : en
Pages : 281

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Book Description
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Solving Transcendental Equations

Solving Transcendental Equations PDF Author: John P. Boyd
Publisher: SIAM
ISBN: 161197352X
Category : Mathematics
Languages : en
Pages : 446

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Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.