Castelnuovo-Mumford regularity and Schubert geometry
Combinatorics
2022-02-15 v1 Commutative Algebra
Algebraic Geometry
Abstract
We study the Castelnuovo-Mumford regularity of tangent cones of Schubert varieties. Conjectures about this statistic are presented; these are proved for the covexillary case. This builds on work of L. Li and the author on these tangent cones, as well as that of J. Rajchgot-Y. Ren-C. Robichaux-A. St. Dizier-A. Weigandt and J. Rajchgot-C. Robichaux-A. Weigandt on tableau rules for computing regularity of some matrix Schubert varieties.
Cite
@article{arxiv.2202.06362,
title = {Castelnuovo-Mumford regularity and Schubert geometry},
author = {Alexander Yong},
journal= {arXiv preprint arXiv:2202.06362},
year = {2022}
}
Comments
10 pages