Lorentzian polynomials, Segre classes, and adjoint polynomials of convex polyhedral cones

DOI10.1016/j.aim.2023.109440arXiv2304.02043OpenAlexW4389426481MaRDI QIDQ6184566

Paolo Aluffi

Publication date: 25 January 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.02043

zbMATH Keywords

convex polytopesSegre classeslog-concave sequencesLorentzian polynomialsadjoint polynomials

Mathematics Subject Classification ID

Combinatorics (05-XX) Commutative algebra (13-XX)

Cites Work

• Segre classes as integrals over polytopes
• Barycentric coordinates for convex polytopes
• A rational finite element basis
• Log-concave polynomials. I: Entropy and a deterministic approximation algorithm for counting bases of matroids
• Lorentzian polynomials
• Projective geometry of Wachspress coordinates
• A relative Segre zeta function
• The Segre zeta function of an ideal
• Chromatic polynomials and logarithmic concavity
• Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs
• Hodge Theory of Matroids
• On multivariate Newton-like inequalities
• Discrete Convex Analysis
• Segre Classes and Invariants of Singular Varieties
• Logarithmic concavity of Schur and related polynomials
• Theoremes de connexite pour les produits d'espaces projectifs et les Grassmanniennes
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