Algebraic reverse Khovanskii-Teissier inequality via Okounkov bodies

DOI10.1007/s00209-023-03349-9arXiv2112.02847OpenAlexW4387008903MaRDI QIDQ6056524

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Publication date: 2 October 2023

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

Full work available at URL: https://arxiv.org/abs/2112.02847

zbMATH Keywords

intersection numbersOkounkov bodiesvolumesreverse Khovanskii-Teissier inequality

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Local positivity in terms of Newton-Okounkov bodies
• Convexity and Zariski decomposition structure
• Okounkov bodies and Seshadri constants
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Positivity of line bundles and Newton-Okounkov bodies
• Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds
• Okounkov bodies and restricted volumes along very general curves
• Asymptotic base loci via Okounkov bodies
• Okounkov bodies associated to pseudoeffective divisors. II
• Brunn-Minkowski inequality for multiplicities
• Multipoint Okounkov bodies
• Positivity of valuations on convex bodies and invariant valuations by linear actions
• Relative dynamical degrees of correspondences over a field of arbitrary characteristic
• Infinitesimal Newton-Okounkov bodies and jet separation
• Degree growth of meromorphic surface maps
• Sufficient bigness criterion for differences of two nef classes
• Regularization of currents and entropy
• Restricted volumes and base loci of linear series
• Convex bodies associated to linear series
• Correspondences between convex geometry and complex geometry
• Okounkov bodies associated to pseudoeffective divisors
• Okounkov bodies and Zariski decompositions on surfaces
• Degrees of iterates of rational maps on normal projective varieties
• A Product Formula for Volumes of Divisors Via Okounkov Bodies
• Bézout-Type Inequality in Convex Geometry

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