P-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture.
Recent years have witnessed significant breakthroughs in the theory of p-adic Galois representations and p-adic periods of algebraic varieties. This book contains papers presented at the Workshop on p-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, held at Boston University in August 19...
Clasificación: | Libro Electrónico |
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Autor principal: | |
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Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence :
American Mathematical Society,
1994.
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Colección: | Contemporary Mathematics Ser.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; Contents; Preface; List of Talks; On monodromy invariants occurring in global arithmetic, and Fontaine's theory; A p-adic Shimura isomorphism and p-adic periods of modular forms; Numerical solution of the p-adic hypergeometric equation; Iwasawa L-functions and the mysterious L-invariant; p-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication; On standard p-adic L-functions of families of elliptic cusp forms; p-adic pairings; Variation of the canonical height in algebraic families.
- Kronecker's polynomial, supersingular elliptic curves, and p-adic periods of modular curvesTrivial zeros of p-adic L-functions; Higher weight modular forms and Galois representations; On the conjecture of Mazur, Tate, and Teitelbaum; Formes modulaires et représentations Galoisiennes à valeurs dans un anneau local complet; A p-adic conjecture about derivatives of L-series attached to modular forms; Euler systems and refined conjectures of Birch Swinnerton-Dyer type; On p-adic L-functions of Mumford curves.