A Survey Of The Hodge Conjecture
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A Survey Of The Hodge Conjecture
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Author : James Dominic Lewis
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
A Survey Of The Hodge Conjecture written by James Dominic Lewis 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 1999 with Geometry, Algebraic categories.
This book provides an introduction to a topic of central interest in transcendental algebraic geometry: the Hodge conjecture. Consisting of 15 lectures plus addenda and appendices, the volume is based on a series of lectures delivered by Professor Lewis at the Centre de Recherches Mathematiques (CRM). The book is a self-contained presentation, completely devoted to the Hodge conjecture and related topics. It includes many examples, and most results are completely proven or sketched. The motivation behind many of the results and background material is provided. This comprehensive approach to the book gives it a 'user-friendly' style. Readers need not search elsewhere for various results. The book is suitable for use as a text for a topics course in algebraic geometry. It includes an appendix by B. Brent Gordon.
A Survey Of The Hodge Conjecture
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Author : James D. Lewis
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-05-06
A Survey Of The Hodge Conjecture written by James D. Lewis 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 2016-05-06 with categories.
This book provides an introduction to a topic of central interest in transcendental algebraic geometry: the Hodge conjecture. Consisting of 15 lectures plus addenda and appendices, the volume is based on a series of lectures delivered by Professor Lewis at the Centre de Recherches Mathematiques (CRM). The book is a self-contained presentation, completely devoted to the Hodge conjecture and related topics. It includes many examples, and most results are completely proven or sketched. The motivation behind many of the results and background material is provided. This comprehensive approach to the book gives it a ``user-friendly'' style. Readers need not search elsewhere for various results. The book is suitable for use as a text for a topics course in algebraic geometry; includes an appendix by B. Brent Gordon.
Conjectures In Arithmetic Algebraic Geometry
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Author : Wilfred W. J. Hulsbergen
language : en
Publisher:
Release Date : 2014-01-15
Conjectures In Arithmetic Algebraic Geometry written by Wilfred W. J. Hulsbergen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
A Survey Of The Hodge Conjecture
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Author : James Dominic Lewis
language : en
Publisher: Centre de recherches mathématiques, Université de Montréal
Release Date : 1991
A Survey Of The Hodge Conjecture written by James Dominic Lewis and has been published by Centre de recherches mathématiques, Université de Montréal this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Mixed Hodge Structures
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Author : Chris A.M. Peters
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-27
Mixed Hodge Structures written by Chris A.M. Peters 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 2008-02-27 with Mathematics categories.
This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detailed fashion. Then both Hain's and Morgan's approaches to mixed Hodge theory related to homotopy theory are sketched. Next comes the relative theory, and then the all encompassing theory of mixed Hodge modules. The book is interlaced with chapters containing applications. Three large appendices complete the book.
Chow Rings Decomposition Of The Diagonal And The Topology Of Families Am 187
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Author : Claire Voisin
language : en
Publisher: Princeton University Press
Release Date : 2014-02-23
Chow Rings Decomposition Of The Diagonal And The Topology Of Families Am 187 written by Claire Voisin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-23 with Mathematics categories.
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.
Frobenius Distributions Lang Trotter And Sato Tate Conjectures
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Author : David Kohel
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-26
Frobenius Distributions Lang Trotter And Sato Tate Conjectures written by David Kohel 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 2016-04-26 with Curves, Algebraic categories.
This volume contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held from February 17–21, 2014 and February 24–28, 2014, at the Centre International de Rencontres Mathématiques, Marseille, France. This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches.
Recent Advances In Hodge Theory
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Author : Matt Kerr
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-04
Recent Advances In Hodge Theory written by Matt Kerr and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Mathematics categories.
Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.
The Arithmetic And Geometry Of Algebraic Cycles
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Author : B. Brent Gordon
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-29
The Arithmetic And Geometry Of Algebraic Cycles written by B. Brent Gordon 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 2000-02-29 with Mathematics categories.
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.
A Course In Hodge Theory
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Author : Hossein Movasati
language : en
Publisher:
Release Date : 2021
A Course In Hodge Theory written by Hossein Movasati and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Hodge theory categories.
Offers an examination of the precursors of Hodge theory: first, the studies of elliptic and abelian integrals by Cauchy, Abel, Jacobi, and Riemann; and then the studies of two-dimensional multiple integrals by Poincare and Picard. The focus turns to the Hodge theory of affine hypersurfaces given by tame polynomials.
