Topological Methods In Algebraic Geometry

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Topological Methods In Algebraic Geometry

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Author : Friedrich Hirzebruch
language : en
Publisher: Springer
Release Date : 2013-11-11

Topological Methods In Algebraic Geometry written by Friedrich Hirzebruch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

Topological Methods In Algebraic Geometry

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Author : Friedrich Hirzebruch
language : en
Publisher: Ergebnisse der Mathematik Und
Release Date : 1978

Topological Methods In Algebraic Geometry written by Friedrich Hirzebruch and has been published by Ergebnisse der Mathematik Und this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.

Topological Methods In Algebraic Geometry

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Author : Friedrich Hirzebruch
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-02-15

Topological Methods In Algebraic Geometry written by Friedrich Hirzebruch 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 1995-02-15 with Mathematics categories.

In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those of SERRE in that they use techniques from differential geometry (harmonic integrals etc. ) but do not make any use of the theory of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory. I was able to work together with K. KODAIRA and D. C. SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954.

Geometric And Algebraic Topological Methods In Quantum Mechanics

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Author : G. Giachetta
language : en
Publisher: World Scientific
Release Date : 2005

Geometric And Algebraic Topological Methods In Quantum Mechanics written by G. Giachetta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.

Topological Methods In Algebraic Geometry

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Author : Friedrich Hirzebruch
language : en
Publisher: Springer
Release Date : 1978-09-01

Topological Methods In Algebraic Geometry written by Friedrich Hirzebruch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-09-01 with Mathematics categories.

In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those of SERRE in that they use techniques from differential geometry (harmonic integrals etc. ) but do not make any use of the theory of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory. I was able to work together with K. KODAIRA and D. C. SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954.

Using The Borsuk Ulam Theorem

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Author : Jiri Matousek
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-04-17

Using The Borsuk Ulam Theorem written by Jiri Matousek 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 2003-04-17 with Computers categories.

"The textbook explains elementary but powerful topological methods based on the Borsuk-Ulam theorem and its generalizations. It covers many substantial results, sometimes with proofs simpler than those in the original papers. At the same time, it assumes no prior knowledge of algebraic topology, and all the required topological notions and results are gradually introduced. History, additional results, and references are presented in separate sections."--Résumé de l'éditeur.

Topological Methods In Algebraic Geometry

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Author : Clark C. Spence
language : en
Publisher:
Release Date : 1966

Topological Methods In Algebraic Geometry written by Clark C. Spence and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.

Topological Methods In Hydrodynamics

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Author : Vladimir I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08

Topological Methods In Hydrodynamics written by Vladimir I. Arnold 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 2008-01-08 with Mathematics categories.

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

Topological Methods In Euclidean Spaces

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Author : Gregory L. Naber
language : en
Publisher: Courier Corporation
Release Date : 2012-08-29

Topological Methods In Euclidean Spaces written by Gregory L. Naber and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Mathematics categories.

Extensive development of such topics as elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, and the Stone-Weierstrass Theorem. New section of solutions to selected problems.