English

Metric groups attached to biextensions

Algebraic Geometry 2010-10-06 v2

Abstract

Let GG 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×GG \times G by the discrete group Qp/ZpQ_p/Z_p. We prove a certain conjecture of Drinfeld regarding the class of this metric group in the Witt group.

Keywords

Cite

@article{arxiv.0809.5082,
  title  = {Metric groups attached to biextensions},
  author = {Swarnendu Datta},
  journal= {arXiv preprint arXiv:0809.5082},
  year   = {2010}
}

Comments

21 pages

R2 v1 2026-06-21T11:25:27.031Z