Residues And Duality
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Residues And Duality
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Author : Robin Hartshorne
language : en
Publisher:
Release Date : 2014-09-01
Residues And Duality written by Robin Hartshorne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Residues And Duality
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Author : Robin Hartshorne
language : en
Publisher:
Release Date : 1966
Residues And Duality written by Robin Hartshorne 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.
Residues And Duality
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Author : Richard Hartshorne
language : en
Publisher:
Release Date : 1966-01-01
Residues And Duality written by Richard Hartshorne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966-01-01 with categories.
Grothendieck Duality And Base Change
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Author : Brian Conrad
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-12
Grothendieck Duality And Base Change written by Brian Conrad 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 2000-12-12 with Mathematics categories.
Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory.
Residues And Duality For Projective Algebraic Varieties
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Author : Ernst Kunz
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Residues And Duality For Projective Algebraic Varieties written by Ernst Kunz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"This book, which grew out of lectures by E. Kunz for students with a background in algebra and algebraic geometry, develops local and global duality theory in the special case of (possibly singular) algebraic varieties over algebraically closed base fields. It describes duality and residue theorems in terms of Kahler differential forms and their residues. The properties of residues are introduced via local cohomology. Special emphasis is given to the relation between residues to classical results of algebraic geometry and their generalizations." "The contribution by A. Dickenstein gives applications of residues and duality to polynomial solutions of constant coefficient partial differential equations and to problems in interpolation and ideal membership, D. A. Cox explains toric residues and relates them to the earlier text." "The book is intended as an introduction to more advanced treatments and further applications of the subject, to which numerous bibliographical hints are given."--BOOK JACKET.
Residues And Duality
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Author : Armand Borel
language : de
Publisher:
Release Date : 1966
Residues And Duality written by Armand Borel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Abelian groups categories.
Algebraic Geometry
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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Algebraic Geometry written by Robin Hartshorne 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 2013-06-29 with Mathematics categories.
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi.
The Scientific Legacy Of Poincare
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Author : Éric Charpentier
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
The Scientific Legacy Of Poincare written by Éric Charpentier and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Biography & Autobiography categories.
Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.
Residues And Traces Of Differential Forms Via Hochschild Homology
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Author : Joseph Lipman
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Residues And Traces Of Differential Forms Via Hochschild Homology written by Joseph Lipman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Requiring only some understanding of homological algebra and commutative ring theory, this book gives those who have encountered Grothendieck residues in geometry or complex analysis an understanding of residues, as well as an appreciation of Hochschild homology.