PreprintCC BY-NC-ND 4.0arXiv
Equivalued affine springer fibers in mixed characteristic
Abstract
We study Witt-vector affine Springer fibers for tame equi-valued conjugacy classes in tamely ramified groups. Following the approach of Goresky-Kottwitz-MacPherson in the equal characteristic setting, we show that they admit pavings by iterations of perfections of affine space bundles whose base are smooth Hessenberg varieties. Along the way we revisit a version of the Chevalley restriction theorem for the dual of Lie algebras.
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BibTeX
@misc{chi2026equivalued,
title = {{Equivalued affine springer fibers in mixed characteristic}},
author = {Jingren Chi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.31083},
eprint = {2606.31083},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.31083},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Equivalued affine springer fibers in mixed characteristic
AU - Jingren Chi
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2606.31083
UR - https://arxiv.org/abs/2606.31083
AB - We study Witt-vector affine Springer fibers for tame equi-valued conjugacy classes in tamely ramified groups. Following the approach of Goresky-Kottwitz-MacPherson in the equal characteristic setting, we show that they admit pavings by iterations of perfections of affine space bundles whose base are smooth Hessenberg varieties. Along the way we revisit a version of the Chevalley restriction theorem for the dual of Lie algebras.
ER -