Iwasawa Theory Of Elliptic Curves With Complex Multiplication

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Iwasawa Theory Of Elliptic Curves With Complex Multiplication

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Author : Ehud De Shalit
language : en
Publisher:
Release Date : 1987

Iwasawa Theory Of Elliptic Curves With Complex Multiplication written by Ehud De Shalit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics 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.

Iwasawa Theory Of Elliptic Curves With Complex Multiplication

DOWNLOAD
Author : Ehud De Shalit
language : en
Publisher:
Release Date : 1987

Iwasawa Theory Of Elliptic Curves With Complex Multiplication written by Ehud De Shalit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

On The Main Conjectures Of Iwasawa Theory For Certain Elliptic Curves With Complex Multiplication

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Author : Yukako Kezuka
language : en
Publisher:
Release Date : 2017

On The Main Conjectures Of Iwasawa Theory For Certain Elliptic Curves With Complex Multiplication written by Yukako Kezuka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

Advanced Topics In The Arithmetic Of Elliptic Curves

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Author : Joseph H. Silverman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Advanced Topics In The Arithmetic Of Elliptic Curves written by Joseph H. Silverman 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 2013-12-01 with Mathematics categories.

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.

Arithmetic Theory Of Elliptic Curves

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Author : J. Coates
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-10-19

Arithmetic Theory Of Elliptic Curves written by J. Coates 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 1999-10-19 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.

Iwasawa Theory And Its Perspective Volume 2

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Author : Tadashi Ochiai
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-25

Iwasawa Theory And Its Perspective Volume 2 written by Tadashi Ochiai and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-25 with Mathematics categories.

Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory. The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.

Elliptic Curves And Big Galois Representations

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Author : Daniel Delbourgo
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-31

Elliptic Curves And Big Galois Representations written by Daniel Delbourgo 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 2008-07-31 with Mathematics categories.

Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists.

Integral Geometry Radon Transforms And Complex Analysis

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Author : Carlos A. Berenstein
language : en
Publisher: Springer
Release Date : 2006-11-14

Integral Geometry Radon Transforms And Complex Analysis written by Carlos A. Berenstein 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 book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

The Arithmetic Of Elliptic Curves

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Author : Joseph H. Silverman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-20

The Arithmetic Of Elliptic Curves written by Joseph H. Silverman 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 2009-04-20 with Mathematics categories.

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.