The Higher Connectivity of Intersections of Real Quadrics

2005/08/21 by Michael Larsen, Larsen, Michael, Ayelet Lindenstrauss +1
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #math.AG #math.AT #msc:14P25

paper · pdf · doi:10.48550/arxiv.math/0508388

13 pages

arxiv created 2005/08/21 · arxiv updated 2009/12/01

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.

Related

• Hodge Structure of a Complete Intersection of Quadrics in a Projective Space
• Variétés réelles connexes non stablement rationnelles
• Convex pencils of real quadratic forms
• Real intersection theory (II)
• On varieties defined by large sets of quadrics and their application to error-correcting codes