TY - JOUR
T1 - Systems of Quadratic Inequalities
JF - Proceedings of the London Mathematical Society, Volume 105, Issue 3, September 2012, Pages 622-660
Y1 - 2012
A1 - Andrei A. Agrachev
A1 - Antonio Lerario
AB - 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.
PB - SISSA
UR - http://hdl.handle.net/1963/7072
U1 - 7066
U2 - Mathematics
U4 - 1
U5 - MAT/03 GEOMETRIA
ER -