Generalizations of the odd degree theorem and applications

被引：0
|
作者：
Shmuel Friedland
Anatoly S. Libgober
机构：
[1] University of Illinois at Chicago,Department of Mathematics, Statistics and Computer Science
来源：
Israel Journal of Mathematics | 2003年 / 136卷
关键词：
Tangent Bundle; Algebraic Variety; Euler Characteristic; Chern Class; Hyperplane Section;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
LetV ⊂ ℙℝn be an algebraic variety, such that its complexificationVℂ ⊂ ℙn is irreducible of codimensionm ≥ 1. We use a sufficient condition on a linear spaceL ⊂ ℙℝn of dimensionm + 2r to have a nonempty intersection withV, to show that any six dimensional subspace of 5 × 5 real symmetric matrices contains a nonzero matrix of rank at most 3.
引用
收藏
页码：353 / 371
页数：18
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