The Eisenstein cocycle, partial zeta values and Gross–Stark units
نویسندگان
چکیده
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.
منابع مشابه
Partial zeta values, Gross’s tower of fields conjecture, and Gross–Stark units
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.
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