Beilinson-Drinfeld Schubert varieties and global Demazure modules

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.

arXiv commentv3: 30 pages; proofs of Lemma 3.8 and Proposition 3.9 corrected; two items added to Proposition 2.6; other minor corrections

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Cited by in corpus (2)

• Beilinson-Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules
• On reduced arc spaces of toric varieties