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

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.

Cite this paper

@inproceedings{Dasgupta2014TheEC, title={The Eisenstein cocycle, partial zeta values and Gross–Stark units}, author={Samit Dasgupta and Michael Spiess}, year={2014} }