Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units

Journal Article (Journal Article)

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. This is achieved by introducing an integral version of the Eisenstein cocycle.

Full Text

Duke Authors

Cited Authors

  • Dasgupta, S; Spieß, M

Published Date

  • January 1, 2018

Published In

Volume / Issue

  • 20 / 11

Start / End Page

  • 2643 - 2683

International Standard Serial Number (ISSN)

  • 1435-9855

Digital Object Identifier (DOI)

  • 10.4171/JEMS/821

Citation Source

  • Scopus