A Note on Frobenius Splitting of Schubert Varities and Linear Syzygies

1994 ◽  
Vol 116 (6) ◽  
pp. 1587 ◽  
Author(s):  
S. P. Inamdar
1994 ◽  
Vol 116 (6) ◽  
pp. 1569 ◽  
Author(s):  
S. P. Inamdar ◽  
V. B. Mehta

Author(s):  
Dinakar Muthiah ◽  
Alex Weekes ◽  
Oded Yacobi

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.


2016 ◽  
Vol 74 ◽  
pp. 493-512 ◽  
Author(s):  
Nicolás Botbol ◽  
Alicia Dickenstein
Keyword(s):  

1985 ◽  
Vol 122 (1) ◽  
pp. 27 ◽  
Author(s):  
V. B. Mehta ◽  
A. Ramanathan

1997 ◽  
Vol 128 (3) ◽  
pp. 437-442 ◽  
Author(s):  
Niels Lauritzen ◽  
Jesper Funch Thomsen

1996 ◽  
Vol 123 (3) ◽  
pp. 467-469 ◽  
Author(s):  
V. B. Mehta ◽  
T. N. Venkataramana
Keyword(s):  

1987 ◽  
Vol 15 (1-2) ◽  
pp. 227-239 ◽  
Author(s):  
Melvin Hochstes ◽  
Dan Laksov
Keyword(s):  

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