Chern–Schwartz–MacPherson classes of degeneracy loci
نویسندگان
چکیده
منابع مشابه
Nonemptiness of Symmetric Degeneracy Loci
Let V be a renk N vector bundle on a d-dimensional complex projective scheme X; assume that V is equipped with a quadratic form with values in a line bundle L and that SV ∗ ⊗ L is ample. Suppose that the maximum rank of the quadratic form at any point of X is r > 0. The main result of this paper is that if d > N − r, the locus of points where the rank of the quadratic form is at most r − 1 is n...
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Let V be a rank N vector bundle on a d-dimensional complex projective scheme X; assume that V is equipped with a skewsymmetric bilinear form with values in a line bundle L and that ΛV ∗⊗L is ample. Suppose that the maximum rank of the form at any point of X is r, where r > 0 is even. The main result of this paper is that if d > 2(N − r), then the locus of points where the rank of the form is at...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2018
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2018.22.3575