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arxiv: 1611.06775 · v1 · pith:BKDZNKFOnew · submitted 2016-11-21 · 🧮 math.RT · math.AG· math.QA

Reducedness of affine Grassmannian slices in type A

Joel Kamnitzer , Dinakar Muthiah , Alex Weekes , Oded Yacobi This is my paper
classification 🧮 math.RT math.AGmath.QA
keywords affinegrassmannianproveschubertslicessphericaltypevarieties
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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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