%0 Journal Article
%J Proceedings of the London Mathematical Society, Volume 105, Issue 3, September 2012, Pages 622-660
%D 2012
%T Systems of Quadratic Inequalities
%A Andrei Agrachev
%A Antonio Lerario
%X 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.
%B Proceedings of the London Mathematical Society, Volume 105, Issue 3, September 2012, Pages 622-660
%I SISSA
%G en
%U http://hdl.handle.net/1963/7072
%1 7066
%2 Mathematics
%4 1
%# MAT/03 GEOMETRIA
%$ Submitted by Andrei Agrachev (agrachev@sissa.it) on 2013-09-16T10:02:51Z
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%R DOI: 10.1112/plms/pds010