On the smooth locus of affine Schubert varieties
Algebraic Geometry
2024-01-30 v2 Representation Theory
Abstract
We give a simple and uniform proof of a conjecture of Haines-Richarz characterizing the smooth locus of Schubert varieties in twisted affine Grassmannians. Our method is elementary and avoids any representation theoretic techniques, instead relying on a combinatorial analysis of tangent spaces of Schubert varieties.
Keywords
Cite
@article{arxiv.2312.14827,
title = {On the smooth locus of affine Schubert varieties},
author = {Georgios Pappas and Rong Zhou},
journal= {arXiv preprint arXiv:2312.14827},
year = {2024}
}
Comments
16 pages. Minor changes