The higher connectivity of intersections of real quadrics

Michael Larsen; Ayelet Lindenstrauss

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The higher connectivity of intersections of real quadrics

机译：实二次曲面交点的更高连通性

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摘要

A linear system of real quadratic forms defines a real projective variety. The real non-singular locus of this variety (more precisely of the underlying scheme) has a highly connected double cover as long as each non-zero form in the system has sufficiently high Witt index.

机译：实数二次形式的线性系统定义了实数投影变体。只要系统中的每个非零形式都具有足够高的维特指数，该变体的实际非奇异基因座（更确切地说是基本方案）具有高度连通的双覆盖。

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来源
《Topology and its applications》 |2006年第18期|p.3645-3653|共9页
作者
Michael Larsen; Ayelet Lindenstrauss;
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作者单位

Department of Mathematics, Indiana University, Bloomington, IN 47405, USA;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
real algebraic varieties; quadratic forms; weak lefschetz theorem; connectivity;

机译：实代数变体;二次形式;弱莱夫谢茨定理;连通性;

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专利

1. On intersections of two real quadrics [J] . Krasnov V. A. Izvestiya. Mathematics . 2018,第1期

机译：关于两个真正Quadrics的十字路口
2. Complexity of intersections of real quadrics and topology of symmetric determinantal varieties [J] . Lerario A. Journal of the European Mathematical Society: JEMS . 2016,第2期

机译：实二次曲面的交集和对称行列式变体的拓扑复杂性
3. The total Betti number of the intersection of three real quadrics [J] . Antonio Lerario Advances in geometry . 2014,第3期

机译：三个实二次曲面的交集的总贝蒂数
4. Intersection of Quadrics in C~n, Moment-Angle Manifolds, Complex Manifolds and Convex Polytopes [C] . Alberto Verjovsky CIME Summer School on "Complex non-Khler Geometry" . 2019

机译：C〜N，力头歧管，复杂歧管和凸多粒子Quadrics的交叉点
5. Spinor sheaves and complete intersections of quadrics. [D] . Addington, Nicolas. 2009

机译：棘轮和完整的二次曲面相交。
6. Geodesic flow on SO(4) and the intersection of quadrics [O] . Mark Adler, Pierre van Moerbeke 1984

机译：SO（4）和二次曲面的交点上的测地流
7. The higher connectivity of intersections of real quadrics [O] . Larsen Michael, Lindenstrauss Ayelet 2006

机译：实二次曲面交点的更高连通性

The higher connectivity of intersections of real quadrics

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