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Conjectures of Brumer, Gross and Stark

2017/07/14 by Nickel, Andreas
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1707.04432

Abstract

We give an introduction to generalisations of conjectures of Brumer and Stark on the annihilator of the class group of a number field. We review the relation to the equivariant Tamagawa number conjecture, the main conjecture of Iwasawa theory for totally real fields, and a conjecture of Gross on the behaviour of p-adic Artin L-functions at zero.

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