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