The Higher Connectivity of Intersections of Real Quadrics

Details The Higher Connectivity of Intersections of Real Quadrics The Higher Connectivity of Intersections of Real Quadrics

2005-08-21

arxiv.org/abs/math/0508388v1

Mathematics

Algebraic Topology

13 pages

Scientific paper

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.

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