Equivalued affine springer fibers in mixed characteristic

Jingren Chi

Equivalued affine springer fibers in mixed characteristic

Algebraic Geometry 2026-06-30 v1

Authors: Jingren Chi

Abstract

We study Witt-vector affine Springer fibers for tame equi-valued conjugacy classes in tamely ramified groups. Similar to the approach of Goresky-Kottwitz-MacPherson in the equal characteristic setting, we show that they admit pavings by perfections of iterated affine space bundles over smooth Hessenberg varieties. Along the way we prove a version of the Chevalley restriction theorem for the dual of Lie algebras.

Keywords

affine Springer fibers Witt vectors mixed characteristic Hessenberg varieties Chevalley restriction theorem

Cite

@article{arxiv.2606.31083,
  title  = {Equivalued affine springer fibers in mixed characteristic},
  author = {Jingren Chi},
  journal= {arXiv preprint arXiv:2606.31083},
  year   = {2026}
}

Comments

24 pages