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The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture.
- Source :
- Journal für die Reine und Angewandte Mathematik; Jan2018, Vol. 2017 Issue 734, p1-58, 58p
- Publication Year :
- 2018
-
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] and [14]. [ABSTRACT FROM AUTHOR]
- Subjects :
- STARK'S conjectures
L-functions
EQUATIONS
NUMERICAL analysis
MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2017
- Issue :
- 734
- Database :
- Complementary Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 127788774
- Full Text :
- https://doi.org/10.1515/crelle-2015-0014