Reducedness of affine Grassmannian slices in type A

Kamnitzer, Joel; Muthiah, Dinakar; Weekes, Alex; Yacobi, Oded

doi:10.1090/proc/13850

Reducedness of affine Grassmannian slices in type A
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by Joel Kamnitzer, Dinakar Muthiah, Alex Weekes and Oded Yacobi PDF

Proc. Amer. Math. Soc. 146 (2018), 861-874 Request permission

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.

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