The Higher Connectivity of Intersections of Real Quadrics
Algebraic Topology
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0508388,
title = {The Higher Connectivity of Intersections of Real Quadrics},
author = {Michael Larsen and Ayelet Lindenstrauss},
journal= {arXiv preprint arXiv:math/0508388},
year = {2007}
}
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13 pages