Work

On the smooth locus of affine Schubert varieties

Year: 2025

Type: article

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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-025-03123-8

Authors: Georgios Pappas, Rong Zhou

Institutions: Michigan State University, University of Cambridge

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Engineering and Physical Sciences Research Council