Metric groups attached to biextensions

Abstract

Let $G$ be a connnected, unipotent, perfect group scheme over an algebraically closed field of characteristic p > 0. V. Drinfeld has defined a certain metric group associated to biextensions of $G\times G$ by the discrete group $Q_p/Z_p$. We prove a certain conjecture of Drinfeld regarding the class of this metric group in the Witt group.

21 pages

References in corpus (1)

• A motivated introduction to character sheaves and the orbit method for unipotent groups in positive characteristic

Cited by in corpus (3)

• Character sheaves on unipotent groups in positive characteristic: foundations
• Modular Categories Associated to Unipotent Groups
• Minimal Idempotents on Solvable Groups