Nonemptiness of skew-symmetric degeneracy loci
نویسندگان
چکیده
منابع مشابه
Nonemptiness of Skew-symmetric Degeneracy Loci
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: Asian Journal of Mathematics
سال: 2005
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2005.v9.n2.a11