On Hodge-Riemann cohomology classes

DOI10.1007/978-3-031-17859-7_39arXiv2106.11285OpenAlexW3176218143MaRDI QIDQ6124085

Matei Toma, Julius Ross

Publication date: 9 April 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11285

zbMATH Keywords

vector bundlesHodge-Riemann relationsSchur classes

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Inequalities and extremum problems involving convexity in convex geometry (52A40) Compact Kähler manifolds: generalizations, classification (32J27)

Cites Work

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• Schur positivity and the \(q\)-log-convexity of the Narayana polynomials
• Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument
• Positive polynomials for ample vector bundles
• The determinantal formula of Schubert calculus
• On the positivity of high-degree Schur classes of an ample vector bundle
• Lorentzian polynomials
• Schur positivity and log-concavity related to longest increasing subsequences
• The positivity of the Chern classes of an ample vector bundle
• On the generating functions of totally positive sequences. I
• Logarithmic concavity of Schur and related polynomials
• Schur positivity and Schur log-concavity
• Inequalities

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