English

Compactification des vari\'et\'es de Deligne-Lusztig

Algebraic Geometry 2008-09-04 v2 Group Theory

Abstract

We construct explicitly the normalisation of the Bott-Samelson-Demazure-Hansen compactification of Deligne-Lusztig varieties X(w)X(w) in their covering Y(w)Y(w): we retrieve a result by Deligne-Lusztig about the local monodromy around the divisors of the compactification.

Cite

@article{arxiv.0801.1556,
  title  = {Compactification des vari\'et\'es de Deligne-Lusztig},
  author = {Cédric Bonnafé and Raphaël Rouquier},
  journal= {arXiv preprint arXiv:0801.1556},
  year   = {2008}
}

Comments

14 pages. Minor corrections

R2 v1 2026-06-21T10:01:33.704Z