Reducedness of affine Grassmannian slices in type A

Published 21 Nov 2016 in math.RT, math.AG, and math.QA | (1611.06775v1)

Abstract: We prove in type A a conjecture which describes the ideal of transversal slices to spherical Schubert varieties in the affine Grassmannian. As a corollary, we prove a modular description (due to Finkelberg-Mirkovi\'c) of the spherical Schubert varieties.

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