کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414171 1630441 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Another strongly exceptional collection of coherent sheaves on a Grassmannian
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Another strongly exceptional collection of coherent sheaves on a Grassmannian
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 473, 1 March 2017, Pages 352-373
نویسندگان
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