A Note on Frobenius Splitting of Schubert Varities and Linear Syzygies

S. P. Inamdar

doi:10.2307/2375060

A Note on Frobenius Splitting of Schubert Varities and Linear Syzygies

American Journal of Mathematics ◽

10.2307/2375060 ◽

1994 ◽

Vol 116 (6) ◽

pp. 1587 ◽

Cited By ~ 3

Author(s):

S. P. Inamdar

Keyword(s):

Frobenius Splitting ◽

Linear Syzygies

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Frobenius Splitting of Schubert Varieties and Linear Syzygies

American Journal of Mathematics ◽

10.2307/2375059 ◽

1994 ◽

Vol 116 (6) ◽

pp. 1569 ◽

Cited By ~ 8

Author(s):

S. P. Inamdar ◽

V. B. Mehta

Keyword(s):

Schubert Varieties ◽

Frobenius Splitting ◽

Linear Syzygies

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On a conjecture of Pappas and Rapoport about the standard local model for GL_d

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2020-0030 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Dinakar Muthiah ◽

Alex Weekes ◽

Oded Yacobi

Keyword(s):

Type A ◽

Positive Answer ◽

Local Model ◽

Schubert Varieties ◽

Shimura Varieties ◽

Local Models ◽

Full Generality ◽

Frobenius Splitting ◽

Affine Grassmannians ◽

Main Ideas

AbstractIn their study of local models of Shimura varieties for totally ramified extensions, Pappas and Rapoport posed a conjecture about the reducedness of a certain subscheme of {n\times n} matrices. We give a positive answer to their conjecture in full generality. Our main ideas follow naturally from two of our previous works. The first is our proof of a conjecture of Kreiman, Lakshmibai, Magyar, and Weyman on the equations defining type A affine Grassmannians. The second is the work of the first two authors and Kamnitzer on affine Grassmannian slices and their reduced scheme structure. We also present a version of our argument that is almost completely elementary: the only non-elementary ingredient is the Frobenius splitting of Schubert varieties.

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