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arXiv · 1707.04432

Conjectures of Brumer, Gross and Stark

Andreas Nickel
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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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Andreas Nickel. 2017-07-14. Conjectures of Brumer, Gross and Stark. https://arxiv.org/abs/1707.04432

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