Systems of Quadratic Inequalities

Details Systems of Quadratic Inequalities Systems of Quadratic Inequalities

2010-12-28

arxiv.org/abs/1012.5731v2

Mathematics

Algebraic Geometry

Scientific paper

We present a spectral sequence which efficiently computes Betti numbers of a closed semi-algebraic subset of RP^n defined by a system of quadratic inequalities and the image of the homology homomorphism induced by the inclusion of this subset in RP^n. We do not restrict ourselves to the term E_2 of the spectral sequence and give a simple explicit formula for the differential d_2.

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