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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mazur, Barry
Otros Autores: Stevens, Glenn
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1994.
Colección:Contemporary Mathematics Ser.
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.