Beilinson–Drinfeld Schubert varieties and global Demazure modules

Ilya Dumanski; Evgeny Feigin; Michael Finkelberg

doi:10.1017/fms.2021.36

Beilinson–Drinfeld Schubert varieties and global Demazure modules

Ilya Dumanski, Evgeny Feigin, Michael Finkelberg

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	e42
Journal	Forum of Mathematics, Sigma
Volume	9
DOIs	https://doi.org/10.1017/fms.2021.36
State	Published - 2021
Externally published	Yes

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title = "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.",

author = "Ilya Dumanski and Evgeny Feigin and Michael Finkelberg",

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JO - Forum of Mathematics, Sigma

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Beilinson–Drinfeld Schubert varieties and global Demazure modules

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