Hodge index inequality in geometry and arithmetic: a probabilistic approach

DOI10.5802/jep.33zbMath1454.14072OpenAlexW2496194721MaRDI QIDQ502557

Huayi Chen

Publication date: 5 January 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jep.33

zbMATH Keywords

Arakelov geometryOkounkov bodygraded linear series\(\mathbb{R}\)-filtrationadelic divisorHodge index inequality

Mathematics Subject Classification ID

[https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

On isoperimetric inequality in Arakelov geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Asymptotic multiplicities of graded families of ideals and linear series
• Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Calculus on arithmetic surfaces
• On the number of lattice points in convex symmetric bodies and their duals
• Approximating Zariski decomposition of big line bundles
• Hodge index theorem for arithmetic cycles of codimension one
• Brunn-Minkowski inequality for multiplicities
• Slopes of adelic vector bundles over global fields
• Fujita's approximation theorem in positive characteristics
• Explicit majorizations of geometric and arithmetic Hilbert-Samuel functions
• Geometric Methods and Applications
• Riemann-Roch Type Inequalities for NEF and Big Divisors
• Arithmetic Fujita approximation
• Convex Bodies Associated with a Given Convex Body
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Convex bodies associated to linear series
• On volumes of arithmetic line bundles
• Heights and Arakelov's Intersection Theory
• Potential theory and Lefschetz theorems for arithmetic surfaces
• On the maximum entropy of the sum of two dependent random variables
• The Geometry of Syzygies
• Positive Line Bundles on Arithmetic Varieties
• An adelic Minkowski-Hlawka theorem and an application to Siegel's lemma.
• Boundedness of the successive minima on arithmetic varieties
• Okounkov bodies of filtered linear series
• Adelic Divisors on Arithmetic Varieties
• Arithmetic geometry of toric varieties. Metrics, measures and heights

This page was built for publication: Hodge index inequality in geometry and arithmetic: a probabilistic approach