Academic Journal
Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules
| Τίτλος: | Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules |
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| Συγγραφείς: | Besson, Marc, Hong, Jiuzu |
| Πηγή: | Forum of Mathematics, Sigma ; volume 13 ; ISSN 2050-5094 |
| Στοιχεία εκδότη: | Cambridge University Press (CUP) |
| Έτος έκδοσης: | 2025 |
| Περιγραφή: | Let ${\mathscr {G}} $ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb {C}$ , excluding the absolutely special case of $A^{(2)}_{2\ell }$ . Using the methods and results of Zhu, we prove a duality theorem for general ${\mathscr {G}} $ : there is a duality between the level one twisted affine Demazure modules and the function rings of certain torus fixed point subschemes in affine Schubert varieties for ${\mathscr {G}} $ . Along the way, we also establish the duality theorem for $E_6$ . As a consequence, we determine the smooth locus of any affine Schubert variety in the affine Grassmannian of ${\mathscr {G}} $ . In particular, this confirms a conjecture of Haines and Richarz. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Γλώσσα: | English |
| DOI: | 10.1017/fms.2025.10057 |
| Διαθεσιμότητα: | https://doi.org/10.1017/fms.2025.10057 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S2050509425100571 |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| Αριθμός Καταχώρησης: | edsbas.799B7988 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.1017/fms.2025.10057 |
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