On the smooth locus of affine Schubert varieties
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| Názov: | On the smooth locus of affine Schubert varieties |
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| Autori: | Georgios Pappas, Rong Zhou |
| Prispievatelia: | Apollo - University of Cambridge Repository |
| Zdroj: | Math Ann |
| Publication Status: | Preprint |
| Informácie o vydavateľovi: | Springer Science and Business Media LLC, 2025. |
| Rok vydania: | 2025 |
| Predmety: | Mathematics - Algebraic Geometry, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, 4904 Pure Mathematics, Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematics - Representation Theory, Article |
| Popis: | 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. |
| Druh dokumentu: | Article Other literature type |
| Popis súboru: | text/xml; application/pdf |
| Jazyk: | English |
| ISSN: | 1432-1807 0025-5831 |
| DOI: | 10.1007/s00208-025-03123-8 |
| DOI: | 10.48550/arxiv.2312.14827 |
| Prístupová URL adresa: | https://pubmed.ncbi.nlm.nih.gov/40386692 http://arxiv.org/abs/2312.14827 https://www.repository.cam.ac.uk/handle/1810/384230 https://doi.org/10.1007/s00208-025-03123-8 |
| Rights: | CC BY |
| Prístupové číslo: | edsair.doi.dedup.....60000f8f15862d7268e784b716fc8c93 |
| Databáza: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | 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. |
|---|---|
| ISSN: | 14321807 00255831 |
| DOI: | 10.1007/s00208-025-03123-8 |