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