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- W2549699281 abstract "On the Grassmannian of 2-dimensional subspaces in a finite dimensional linear space we construct a Karoubian complete strongly exceptional PO set of coherent sheaves, parametrized by the cosets of the Weyl group of the general linear group of the linear space modulo the Weyl group of the parabolic subgroup stabilizing the subspace, from subquotients of the Frobenius direct image of the structure sheaf of the Grassmannian defined over a field of large positive characteristic. Our collection diverges from the one discovered by Kapranov. We also show in the general setting over any field of positive characteristic that the sheaf corresponding to the longest element of the cosets is a direct summand of the Frobenius direct image of the structure sheaf of the homogeneous space." @default.
- W2549699281 created "2016-11-30" @default.
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- W2549699281 date "2017-03-01" @default.
- W2549699281 modified "2023-09-30" @default.
- W2549699281 title "Another strongly exceptional collection of coherent sheaves on a Grassmannian" @default.
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- W2549699281 doi "https://doi.org/10.1016/j.jalgebra.2016.10.043" @default.
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