Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns

Takamichi Sano

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arXiv · 1406.4623

Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns

Takamichi Sano

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Abstract

We formulate a conjecture which generalizes Darmon's "refined class number formula". We discuss relations between our conjecture and the equivariant leading term conjecture of Burns. As an application, we give another proof of the "except 2-part" of Darmon's conjecture, which was first proved by Mazur and Rubin.

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Takamichi Sano. 2014-06-18. Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns. https://arxiv.org/abs/1406.4623

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