The Eisenstein cocycle, partial zeta values and Gross--Stark units

2014/11/14 by Dasgupta, Samit, Spieß, Michael
#11R42 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1411.4025

Abstract

We introduce an integral version of the Eisenstein cocycle. As applications we prove a conjecture of Gross regarding the "order of vanishing" of Stickelberger elements relative to an abelian tower of fields and give a cohomological construction of the conjectural Gross--Stark units.

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