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$p$-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture

About this Title

Barry Mazur and Glenn Stevens, Editors

Publication: Contemporary Mathematics
Publication Year: 1994; Volume 165
ISBNs: 978-0-8218-5180-7 (print); 978-0-8218-7756-2 (online)
DOI: https://doi.org/10.1090/conm/165
MathSciNet review: 1279598

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Table of Contents

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Front/Back Matter

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Articles

• B. Mazur – On monodromy invariants occurring in global arithmetic, and Fontaine’s theory [MR 1279599]
• Robert F. Coleman – A $p$-adic Shimura isomorphism and $p$-adic periods of modular forms [MR 1279600]
• Robert Coleman and Jeremy Teitelbaum – Numerical solution of the $p$-adic hypergeometric equation [MR 1279601]
• John W. Jones – Iwasawa $L$-functions and the mysterious ${\scr L}$-invariant [MR 1279602]
• Karl Rubin – $p$-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication [MR 1279603]
• Koji Kitagawa – On standard $p$-adic $L$-functions of families of elliptic cusp forms [MR 1279604]
• Ki-Seng Tan – $p$-adic pairings [MR 1279605]
• Joseph H. Silverman – Variation of the canonical height in algebraic families [MR 1279606]
• Ehud de Shalit – Kronecker’s polynomial, supersingular elliptic curves, and $p$-adic periods of modular curves [MR 1279607]
• Ralph Greenberg – Trivial zeros of $p$-adic $L$-functions [MR 1279608]
• Bruce W. Jordan – Higher weight modular forms and Galois representations [MR 1279609]
• Ralph Greenberg and Glenn Stevens – On the conjecture of Mazur, Tate, and Teitelbaum [MR 1279610]
• Henri Carayol – Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet [MR 1279611]
• Naomi Jochnowitz – A $p$-adic conjecture about derivatives of $L$-series attached to modular forms [MR 1279612]
• Henri Darmon – Euler systems and refined conjectures of Birch Swinnerton-Dyer type [MR 1279613]
• Christoph Klingenberg – On $p$-adic $L$-functions of Mumford curves [MR 1279614]