Kamnitzer, J., Muthiah, D. and Weekes, A. (2018) On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian. Transformation Groups, 23(3), pp. 707-722. (doi: 10.1007/s00031-017-9455-4)
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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 transverse slices in the affine Grassmannian.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Muthiah, Dr Dinakar |
| Authors: | Kamnitzer, J., Muthiah, D., and Weekes, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Transformation Groups |
| Publisher: | Springer |
| ISSN: | 1083-4362 |
| ISSN (Online): | 1531-586X |
| Published Online: | 13 November 2017 |
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