Reducedness of affine Grassmannian slices in type A

Reducedness of affine Grassmannian slices in type A

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2018-02, Vol.146 (2), p.861-874
Hauptverfasser: KAMNITZER, JOEL, MUTHIAH, DINAKAR, WEEKES, ALEX, YACOBI, ODED
Format: Artikel
Sprache:eng
Schlagworte:
G. TOPOLOGY
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13850