Geodesic
Beilinson–Drinfeld Schubert varieties and global Demazure modules
Forum of Mathematics, Sigma, Tome 9 (2021)

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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. 
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     author = {Ilya Dumanski and Evgeny Feigin and Michael Finkelberg},
     title = {Beilinson{\textendash}Drinfeld {Schubert} varieties and global {Demazure} modules},
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Ilya Dumanski; Evgeny Feigin; Michael Finkelberg. Beilinson–Drinfeld Schubert varieties and global Demazure modules. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.36

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