The Equivariant Tamagawa Number Conjecture and the Extended Abelian Stark Conjecture

  • DANIEL VALLIÈRES
  • Published 2014

Abstract

The goal of this paper is to show that the equivariant Tamagawa number conjecture implies the extended abelian Stark conjecture contained in [12] and [11]. In particular, this gives the first proof of the extended abelian Stark conjecture for the base field Q, since the equivariant Tamagawa number conjecture away from 2 was proved in this context by Burns and Greither in [8] and Flach completed their results at 2 in [13].

Extracted Key Phrases

1 Figure or Table

Cite this paper

@inproceedings{VALLIRES2014TheET, title={The Equivariant Tamagawa Number Conjecture and the Extended Abelian Stark Conjecture}, author={DANIEL VALLI{\`E}RES}, year={2014} }