On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian
Abstract
We study spherical Schubert varieties in the affine Grassmannian. These Schubert varieties have a natural conjectural modular description due to Finkelberg-Mirković. This modular description is easily seen to be set-theoretically correct, but it is not obviously scheme-theoretically correct. We prove that this modular description is correct in many cases. We also link this modular description to the reducedness conjecture from Kamnitzer-Webster-Weekes-Yacobi for tranverse slices in the affine Grassmannian.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2016
- DOI:
- 10.48550/arXiv.1604.00053
- arXiv:
- arXiv:1604.00053
- Bibcode:
- 2016arXiv160400053K
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Algebraic Geometry
- E-Print:
- 17 pages, comments welcome