Convex pencils of real quadratic forms

DOI10.1007/s00454-012-9460-2zbMath1287.14029arXiv1106.4678OpenAlexW1978411928MaRDI QIDQ1930547

Antonio Lerario

Publication date: 11 January 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4678

zbMATH Keywords

Betti numberssemi-algebraic setsquadratic inequalities

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Spectral sequences in algebraic topology (55T99) Topology of real algebraic varieties (14P25) Topological properties in algebraic geometry (14F45)

Related Items (4)

Samuel Gitler and the topology of intersections of quadrics ⋮ Random matrices and the average topology of the intersection of two quadrics ⋮ Geodesics and horizontal-path spaces in Carnot groups ⋮ Gap probabilities and Betti numbers of a random intersection of quadrics

Cites Work

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• Pencils of complex and real symmetric and skew matrices
• A sharper estimate on the Betti numbers of sets defined by quadratic inequalities
• Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials
• On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets
• Perturbation theory for linear operators.
• The total Betti number of the intersection of three real quadrics
• On the Number of Components of a Complete Intersection of Real Quadrics
• Systems of quadratic inequalities
• Linear Systems of Real Quadratic Forms
• Hilbert's sixteenth problem

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