Parabolic Multiplicative Affine Springer Fibers
Algebraic Geometry
2024-12-13 v2 Representation Theory
Abstract
We introduce parabolic multiplicative affine Springer fibers, which resemble the admissible union of affine Deligne Lusztig varieties in the affine flag variety. We also study their global counterparts called parabolic multiplicative Hitchin fibers. Their associated fibration is a global analogue of the Grothendieck simultaneous resolution for monoids. Using this fibration, we show that the parabolic multiplicative affine Springer fibers are equidimensional and find their dimension.
Keywords
Cite
@article{arxiv.2410.09651,
title = {Parabolic Multiplicative Affine Springer Fibers},
author = {Marielle Ong},
journal= {arXiv preprint arXiv:2410.09651},
year = {2024}
}
Comments
45 pages, comments are welcome!