Beilinson–Drinfeld Schubert varieties and global Demazure modules
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2021-01-01
|
| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509421000360/type/journal_article |
| _version_ | 1811156211541737472 |
|---|---|
| author | Ilya Dumanski Evgeny Feigin Michael Finkelberg |
| author_facet | Ilya Dumanski Evgeny Feigin Michael Finkelberg |
| author_sort | Ilya Dumanski |
| collection | DOAJ |
| description | We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra. |
| first_indexed | 2024-04-10T04:47:44Z |
| format | Article |
| id | doaj.art-ed841c01ec674aa0ac58b5f6d794c8b9 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-04-10T04:47:44Z |
| publishDate | 2021-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-ed841c01ec674aa0ac58b5f6d794c8b92023-03-09T12:34:52ZengCambridge University PressForum of Mathematics, Sigma2050-50942021-01-01910.1017/fms.2021.36Beilinson–Drinfeld Schubert varieties and global Demazure modulesIlya Dumanski0Evgeny Feigin1Michael Finkelberg2Department of Mathematics, HSE University, Usacheva str. 6, Moscow, 119048, Russia Independent University of Moscow, Bolshoy Vlasyevskiy Pereulok 11, Moscow, 119002, Russia; E-mail:Department of Mathematics, HSE University, Usacheva str. 6, Moscow, 119048, Russia Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Building 3, Moscow, 143026, Russia; E-mail:Department of Mathematics, HSE University, Russia, Usacheva str. 6, Moscow, 119048, Russia Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Building 3, Moscow, 143026, Russia Institute for Information Transmission Problems of RAS, Moscow, Russia; E-mail:We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.https://www.cambridge.org/core/product/identifier/S2050509421000360/type/journal_article14M1517B67 |
| spellingShingle | Ilya Dumanski Evgeny Feigin Michael Finkelberg Beilinson–Drinfeld Schubert varieties and global Demazure modules Forum of Mathematics, Sigma 14M15 17B67 |
| title | Beilinson–Drinfeld Schubert varieties and global Demazure modules |
| title_full | Beilinson–Drinfeld Schubert varieties and global Demazure modules |
| title_fullStr | Beilinson–Drinfeld Schubert varieties and global Demazure modules |
| title_full_unstemmed | Beilinson–Drinfeld Schubert varieties and global Demazure modules |
| title_short | Beilinson–Drinfeld Schubert varieties and global Demazure modules |
| title_sort | beilinson drinfeld schubert varieties and global demazure modules |
| topic | 14M15 17B67 |
| url | https://www.cambridge.org/core/product/identifier/S2050509421000360/type/journal_article |
| work_keys_str_mv | AT ilyadumanski beilinsondrinfeldschubertvarietiesandglobaldemazuremodules AT evgenyfeigin beilinsondrinfeldschubertvarietiesandglobaldemazuremodules AT michaelfinkelberg beilinsondrinfeldschubertvarietiesandglobaldemazuremodules |