On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian
Representation Theory
2016-04-04 v1 Algebraic Geometry
Abstract
We study spherical Schubert varieties in the affine Grassmannian. These Schubert varieties have a natural conjectural modular description due to Finkelberg-Mirkovi\'c. This modular description is easily seen to be set-theoretically correct, but it is not obviously scheme-theoretically correct. We prove that this modular description is correct in many cases. We also link this modular description to the reducedness conjecture from Kamnitzer-Webster-Weekes-Yacobi for tranverse slices in the affine Grassmannian.
Keywords
Cite
@article{arxiv.1604.00053,
title = {On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian},
author = {Joel Kamnitzer and Dinakar Muthiah and Alex Weekes},
journal= {arXiv preprint arXiv:1604.00053},
year = {2016}
}
Comments
17 pages, comments welcome