English

Closure relations of Newton strata in Iwahori double cosets

Algebraic Geometry 2021-06-15 v1

Abstract

We consider the Newton stratification on Iwahori double cosets for a connected reductive group. We prove the existence of Newton strata whose closures cannot be expressed as a union of strata, and show how this is implied by the existence of non-equidimensional affine Deligne-Lusztig varieties. We also give an explicit example for a group of type A4A_4.

Keywords

Cite

@article{arxiv.2106.07284,
  title  = {Closure relations of Newton strata in Iwahori double cosets},
  author = {Stefania Trentin and Eva Viehmann},
  journal= {arXiv preprint arXiv:2106.07284},
  year   = {2021}
}