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Elliptic Curves, Modular Forms and Iwasawa Theory

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Cover of 'Elliptic Curves, Modular Forms and Iwasawa Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Congruences Between Modular Forms and the Birch and Swinnerton-Dyer Conjecture
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    Chapter 2 p-adic Measures for Hermitian Modular Forms and the Rankin–Selberg Method
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    Chapter 3 Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular Forms
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    Chapter 4 Behaviour of the Order of Tate–Shafarevich Groups for the Quadratic Twists of $$X_0(49)$$
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    Chapter 5 Compactifications of S-arithmetic Quotients for the Projective General Linear Group
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    Chapter 6 On the Structure of Selmer Groups
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    Chapter 7 Control of $$\Lambda $$ -adic Mordell–Weil Groups
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    Chapter 8 Some Congruences for Non-CM Elliptic Curves
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    Chapter 9 Diophantine Geometry and Non-abelian Reciprocity Laws I
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    Chapter 10 On p -adic Interpolation of Motivic Eisenstein Classes
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    Chapter 11 Vanishing of Some Galois Cohomology Groups for Elliptic Curves
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    Chapter 12 Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions
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    Chapter 13 Bigness in Compatible Systems
Attention for Chapter 4: Behaviour of the Order of Tate–Shafarevich Groups for the Quadratic Twists of $$X_0(49)$$
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Chapter title
Behaviour of the Order of Tate–Shafarevich Groups for the Quadratic Twists of $$X_0(49)$$
Chapter number 4
Book title
Elliptic Curves, Modular Forms and Iwasawa Theory
Published by
Springer, Cham, March 2015
DOI 10.1007/978-3-319-45032-2_4
Book ISBNs
978-3-31-945031-5, 978-3-31-945032-2
Authors

Andrzej Dąbrowski, Tomasz Jędrzejak, Lucjan Szymaszkiewicz, Andrzej Dbrowski, Tomasz Jdrzejak

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