Arithmetic Seshadri fuction and Arakelov geometry

DOI10.5802/afst.1416zbMath1432.14025OpenAlexW2330164541MaRDI QIDQ476072

Huayi Chen

Publication date: 28 November 2014

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1416

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

Cites Work

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• Concerning the semistability of tensor products in Arakelov geometry
• Okounkov bodies and Seshadri constants
• Asymptotic invariants of base loci
• Multiplicity lemmas and the Seshadri constant.
• Adelic geometry of numbers and generalized Siegel lemmas
• Newton polyhedron, Hilbert polynomial, and sums of finite sets
• Stable base loci of linear series
• Slopes of adelic vector bundles over global fields
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Multiplicity estimates, interpolation, and transcendence theory
• Convergence des polygones de Harder-Narasimhan
• Arithmetic Fujita approximation
• Restricted volumes and base loci of linear series
• Convex bodies associated to linear series
• A primer on Seshadri constants
• Base loci of linear series are numerically determined
• Okounkov bodies of filtered linear series

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