학술논문

On the smooth locus of affine Schubert varieties
Document Type
Working Paper
Source
Subject
Mathematics - Algebraic Geometry
Mathematics - Representation Theory
Language
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.
Comment: 16 pages. Minor changes