arXiv Analytics

Sign in

arXiv:2312.14827 [math.AG]AbstractReferencesReviewsResources

On the smooth locus of affine Schubert varieties

Georgios Pappas, Rong Zhou

Published 2023-12-22Version 1

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.

Comments: 16 pages. Comments welcome!
Categories: math.AG, math.RT
Related articles: Most relevant | Search more
arXiv:1106.2586 [math.AG] (Published 2011-06-14, updated 2015-02-07)
Projected Richardson varieties and affine Schubert varieties
arXiv:math/0210151 [math.AG] (Published 2002-10-10)
Affine Schubert Varieties and Circular Complexes
arXiv:math/0411127 [math.AG] (Published 2004-11-06)
On Ideal Generators for Affine Schubert Varieties

Links

Toolbox