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Elliptic Curves and Big Galois Representations Book

Elliptic Curves and Big Galois Representations
Elliptic Curves and Big Galois Representations, The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the , Elliptic Curves and Big Galois Representations has a rating of 3 stars
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Elliptic Curves and Big Galois Representations, The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the , Elliptic Curves and Big Galois Representations
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  • Elliptic Curves and Big Galois Representations
  • Written by author Daniel Delbourgo
  • Published by Cambridge University Press, January 1996
  • The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the
  • Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists.
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Book Categories

Authors

Introduction 1

List of Notations 6

Ch. I Background 7

Ch. II p-Adic L-functions and Zeta Elements 31

Ch. III Cyclotomic Deformations of Modular Symbols 50

Ch. IV A User's Guide to Hida Theory 70

Ch. V Crystalline Weight Deformations 86

Ch. VI Super Zeta-Elements 108

Ch. VII Vertical and Half-Twisted Arithmetic 141

Ch. VIII Diamond-Euler Characteristics: the Local Case 165

Ch. IX Diamond-Euler Characteristics: the Global Case 191

Ch. X Two-Variable Iwasawa Theory of Elliptic Curves 222

App. A The Primitivity of Zeta Elements 252

App. B Specialising the Universal Path Vector 257

App. C The Weight-Variable Control Theorem Paul A. Smith Smith, Paul A. 260

Bibliography 275

Index 280


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Elliptic Curves and Big Galois Representations, The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the , Elliptic Curves and Big Galois Representations

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Elliptic Curves and Big Galois Representations, The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the , Elliptic Curves and Big Galois Representations

Elliptic Curves and Big Galois Representations

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Elliptic Curves and Big Galois Representations, The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the , Elliptic Curves and Big Galois Representations

Elliptic Curves and Big Galois Representations

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