On the smooth locus of affine Schubert varieties
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.
Authors
- G. Pappas (ORCID: https://orcid.org/0000-0002-4274-5057)
- Rong Zhou (ORCID: https://orcid.org/0000-0003-2468-5086)
Institutions
- University of Cambridge (GB)
- Institute of Mathematical Statistics (US)
- Michigan State University (US)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2025-03-12
- DOI
- https://doi.org/10.1007/s00208-025-03123-8
- Citations
- 1
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- National Science Foundation
- Engineering and Physical Sciences Research Council