Abelian L Adic Representations And Elliptic Curves
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Abelian L Adic Representations And Elliptic Curves
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Author : Jean Pierre Serre
language : en
Publisher: A K Peters, Ltd.
Release Date : 1998
Abelian L Adic Representations And Elliptic Curves written by Jean Pierre Serre and has been published by A K Peters, Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Originally published: New York : W.A. Benjamin, 1968.
Abelian L Adic Representations And Elliptic Curves
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Author : Jean-Pierre Serre
language : en
Publisher: CRC Press
Release Date : 1997-11-15
Abelian L Adic Representations And Elliptic Curves written by Jean-Pierre Serre and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-15 with Mathematics categories.
This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one
Abelian L Adic Representations And Elliptic Curves
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Author : Jean Pierre Serre
language : en
Publisher: Addison-Wesley Longman
Release Date : 1968
Abelian L Adic Representations And Elliptic Curves written by Jean Pierre Serre and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
Abelian L Adic Representations And Elliptic Curves
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Author : Jean Pierre Serre
language : en
Publisher:
Release Date : 1968
Abelian L Adic Representations And Elliptic Curves written by Jean Pierre Serre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Arithmetic Theory Of Elliptic Curves
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Author : J. Coates
language : en
Publisher: Springer
Release Date : 2006-11-14
Arithmetic Theory Of Elliptic Curves written by J. Coates and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.
Geometric Modular Forms And Elliptic Curves
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Author : Haruzo Hida
language : en
Publisher: World Scientific
Release Date : 2012
Geometric Modular Forms And Elliptic Curves written by Haruzo Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura?Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.In this new second edition, a detailed description of Barsotti?Tate groups (including formal Lie groups) is added to Chapter 1. As an application, a down-to-earth description of formal deformation theory of elliptic curves is incorporated at the end of Chapter 2 (in order to make the proof of regularity of the moduli of elliptic curve more conceptual), and in Chapter 4, though limited to ordinary cases, newly incorporated are Ribet's theorem of full image of modular p-adic Galois representation and its generalization to ?big? ?-adic Galois representations under mild assumptions (a new result of the author). Though some of the striking developments described above is out of the scope of this introductory book, the author gives a taste of present day research in the area of Number Theory at the very end of the book (giving a good account of modularity theory of abelian ?-varieties and ?-curves).
Modular Functions Of One Variable I Iv
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Author : Willem Kuyk
language : en
Publisher:
Release Date : 1973
Modular Functions Of One Variable I Iv written by Willem Kuyk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Modular functions categories.
Topics In Galois Theory Second Edition
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Author : Jean-Pierre Serre
language : en
Publisher: A K Peters/CRC Press
Release Date : 2008
Topics In Galois Theory Second Edition written by Jean-Pierre Serre and has been published by A K Peters/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt construction for p-groups, p != 2, as well as Hilbert's irreducibility theorem and the large sieve inequality, are presented. The second half is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of regular extensions of Q(T). While proofs are not carried out in full detail, the book contains a number of examples, exercises, and open problems.
P Adic Differential Equations
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Author : Kiran S. Kedlaya
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-10
P Adic Differential Equations written by Kiran S. Kedlaya 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 2010-06-10 with Mathematics categories.
Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study.
Hodge Cycles Motives And Shimura Varieties
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Author : Pierre Deligne
language : en
Publisher: Springer
Release Date : 2009-03-20
Hodge Cycles Motives And Shimura Varieties written by Pierre Deligne and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-20 with Mathematics categories.