On the Betti numbers of semialgebraic sets defined by few quadratic inequalities

DOI10.1007/PL00004307zbMath0919.14034MaRDI QIDQ1360054

Alexander I. Barvinok

Publication date: 28 August 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Betti numberscomplexity of a semialgebraic decision problemtopology of semialgebraic sets

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Semialgebraic sets and related spaces (14P10) Topological properties in algebraic geometry (14F45)

Related Items (9)

Bounding the equivariant Betti numbers of symmetric semi-algebraic sets ⋮ Some independent bounds on the number of variables of quadratic polynomials ⋮ Geodesic diameter of sets defined by few quadratic equations and inequalities ⋮ A sharper estimate on the Betti numbers of sets defined by quadratic inequalities ⋮ Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications ⋮ On projections of semi-algebraic sets defined by few quadratic inequalities ⋮ Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials ⋮ Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials ⋮ Gap probabilities and Betti numbers of a random intersection of quadrics

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