The Higher Connectivity of Intersections of Real Quadrics
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🧮 math.AT
math.AG
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realsystemvarietyconnectedconnectivitycoverdefinesdouble
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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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