English

Modular intersection cohomology of Drinfeld's compactifications

Representation Theory 2025-05-26 v1

Abstract

We compute the dimension of the cohomology of stalks of intersection cohomology complexes on Zastava schemes and Drinfeld compactifications associated with a connected reductive algebraic group GG, in case the characteristic of the coefficients field k\Bbbk is good for GG. In particular, we show that these dimensions do not depend on the choice of k\Bbbk.

Keywords

Cite

@article{arxiv.2505.17953,
  title  = {Modular intersection cohomology of Drinfeld's compactifications},
  author = {Pramod N. Achar and Gurbir Dhillon and Simon Riche},
  journal= {arXiv preprint arXiv:2505.17953},
  year   = {2025}
}

Comments

49 pages

R2 v1 2026-07-01T02:33:59.937Z