Systems of Quadratic Inequalities
Algebraic Geometry
2015-03-17 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1012.5731,
title = {Systems of Quadratic Inequalities},
author = {Andrei Agrachev and Antonio Lerario},
journal= {arXiv preprint arXiv:1012.5731},
year = {2015}
}