A generalization of the effective Liouville theorem for projective varieties

DOI10.1215/21562261-2019-0073zbMath1469.14051OpenAlexW3047379686MaRDI QIDQ2216696

François Ballaÿ

Publication date: 16 December 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1597219605

zbMATH Keywords

rational pointsDiophantine approximationArakelov geometryLiouville's theoremSeshadri constant

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Approximation to algebraic numbers (11J68)

Cites Work

• An analogue of Liouville's theorem and an application to cubic surfaces
• Diophantine approximations on projective spaces
• Distribution of logarithmic spectra of the equilibrium energy
• Semiample invertible sheaves with semipositive continuous Hermitian metrics
• Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary varieties
• Slopes of adelic vector bundles over global fields
• The Stone-Weierstrass theorem for valuable fields
• Convergence des polygones de Harder-Narasimhan
• Positive Line Bundles on Arithmetic Varieties
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