English

Degrees of unitary Deligne-Lusztig varieties

Algebraic Geometry 2023-01-24 v1 Combinatorics Number Theory

Abstract

We prove an explicit degree formula for certain unitary Deligne-Lusztig varieties. Combining with an alternative degree formula in terms of Schubert calculus, we deduce several algebraic combinatorial identities which may be of independent interest.

Keywords

Cite

@article{arxiv.2301.08886,
  title  = {Degrees of unitary Deligne-Lusztig varieties},
  author = {Chao Li},
  journal= {arXiv preprint arXiv:2301.08886},
  year   = {2023}
}

Comments

15 pages. To appear in Kudla 70 volume