The total Betti number of the intersection of three real quadrics

Details The total Betti number of the intersection of three real quadrics The total Betti number of the intersection of three real quadrics

2011-11-16

arxiv.org/abs/1111.3847v1

Mathematics

Algebraic Topology

Scientific paper

We prove that the total Betti number of the intersection X of three quadrics
in RP^n is bounded by n(n+1). This bound improves the classical Barvinok's one
which is at least of order three in n.

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