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Correspondences between convex geometry and complex geometry

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Publication:4611626
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zbMath1408.14022arXiv1607.06161MaRDI QIDQ4611626

Brian Lehmann, Jian Xiao

Publication date: 21 January 2019

Full work available at URL: https://arxiv.org/abs/1607.06161

zbMATH Keywords

convexitymixed volumeZariski decompositiongeometric inequalitiesAlexandrov bodypositive product


Mathematics Subject Classification ID

Kähler manifolds (32Q15) Mixed volumes and related topics in convex geometry (52A39) Divisors, linear systems, invertible sheaves (14C20)


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Convexity and Zariski decomposition structure, Algebraic reverse Khovanskii-Teissier inequality via Okounkov bodies, Toward classification of codimension 1 foliations on threefolds of general type, Combinatorics and Hodge theory, Positivity of valuations on convex bodies and invariant valuations by linear actions, On higher-rank Khovanskii-Teissier inequalities, Rogers-Shephard and local Loomis-Whitney type inequalities, Bézout-Type Inequality in Convex Geometry



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