Beilinson-Drinfeld Schubert varieties and global Demazure modules
Representation Theory
2022-09-12 v3 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2003.12930,
title = {Beilinson-Drinfeld Schubert varieties and global Demazure modules},
author = {Ilya Dumanski and Evgeny Feigin and Michael Finkelberg},
journal= {arXiv preprint arXiv:2003.12930},
year = {2022}
}
Comments
v3: 30 pages; proofs of Lemma 3.8 and Proposition 3.9 corrected; two items added to Proposition 2.6; other minor corrections