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.

v3: 30 pages; proofs of Lemma 3.8 and Proposition 3.9 corrected; two items added to Proposition 2.6; other minor corrections

References in corpus (4)

• Quiver varieties and Beilinson-Drinfeld Grassmannians of type A
• The Beilinson-Drinfeld Grassmannian and symplectic knot homology
• Reduced arc schemes for Veronese embeddings and global Demazure modules
• Coincident root loci and Jack and Macdonald polynomials for special values of the parameters

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