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Reducedness of affine Grassmannian slices in type A

arXiv:1611.06775

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-Mirković) of the spherical Schubert varieties.

12 pages, comments welcome