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Stark's Conjectures : Recent Work and New Directions.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Burns, David
Otros Autores: Popescu, Cristian, Sands, Jonathan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2004.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Preface
  • List of Participants
  • Rubin's integral refinement of the abelian Stark conjecture
  • Computations related to Stark's conjecture
  • Arithmetic annihilators and Stark-type conjectures
  • The equivariant Tamagawa number conjecture: A survey
  • Part 1: The Tamagawa Number Conjecture in the formulation of Fontaine and Perrin-Riou
  • 1. The setup
  • 2. Periods and Regulators
  • 3. Galois cohomology
  • Part 2: The Equivariant Refinement
  • 4. Commutative Coefficients
  • 5. Proven cases
  • Part 3: Determinant Functors: Some Algebra
  • 6. Noncommutative Coefficients7. The Stark Conjectures
  • APPENDIX: On the vanishing of Âæ-invariants
  • References
  • Popescu's conjecture in multi-quadratic extensions
  • Abelian conjectures of Stark type in Zp-extensions of totally real fields
  • The derivative of p-adic Dirichlet series at s = 0
  • Refining Gross's conjecture on the values of abelian L-functions
  • Stickelberger functions for non-abelian Galois extensions of global fields
  • Introduction to Kolyvagin systems