English

On the connectedness of Deligne-Lusztig varieties

Algebraic Geometry 2008-08-19 v2

Abstract

We give a criterion which determines when a union of one-dimensional Deligne-Lusztig varieties has a connected closure. We also obtain a new, short proof of the connectedness criterion for Deligne-Lusztig varieties due to Lusztig.

Keywords

Cite

@article{arxiv.0807.2786,
  title  = {On the connectedness of Deligne-Lusztig varieties},
  author = {Ulrich Goertz},
  journal= {arXiv preprint arXiv:0807.2786},
  year   = {2008}
}

Comments

v2: Revised Section 3, added Section 4. 6 pages