A Bertini-type theorem for free arithmetic linear series

DOI10.1215/21562261-3089037zbMath1331.14033arXiv1311.6588OpenAlexW3098359429MaRDI QIDQ500818

Hideaki Ikoma

Publication date: 5 October 2015

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

Full work available at URL: https://arxiv.org/abs/1311.6588

zbMATH Keywords

Arakelov theoryBertini theoremarithmetic varieties

Mathematics Subject Classification ID

Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (1)

Successive minima and asymptotic slopes in Arakelov geometry

Cites Work

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• Big line bundles over arithmetic varieties
• Hodge index theorem for arithmetic cycles of codimension one
• On the effective Nullstellensatz
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Free Basis Consisting of Strictly Small Sections
• Combinatorial Nullstellensatz
• Arithmetic Bogomolov-Gieseker's Inequality

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