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arXiv · 1611.06775

Reducedness of affine Grassmannian slices in type A

Joel Kamnitzer·Dinakar Muthiah·Alex Weekes·Oded Yacobi
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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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Joel Kamnitzer, Dinakar Muthiah, Alex Weekes, Oded Yacobi. 2016-11-21. Reducedness of affine Grassmannian slices in type A. https://arxiv.org/abs/1611.06775

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