Adelic Divisors on Arithmetic Varieties

DOI10.1090/memo/1144zbMath1388.14076arXiv1302.1922OpenAlexW1541481101MaRDI QIDQ5365186

Atsushi Moriwaki

Publication date: 6 October 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1922

zbMATH Keywords

Berkovich spaceZariski decompositionHodge index theoremgreen functionsadelic Arakelov geometryFujita's approximationnumerical criterion of neffness

Mathematics Subject Classification ID

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

Related Items (7)

Adelic Cartier divisors with base conditions and the continuity of volumes ⋮ Arithmetic Okounkov bodies and positivity of adelic Cartier divisors ⋮ On isoperimetric inequality in Arakelov geometry ⋮ Hodge index inequality in geometry and arithmetic: a probabilistic approach ⋮ Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities ⋮ Successive minima and asymptotic slopes in Arakelov geometry ⋮ The theta invariants and the volume function on arithmetic varieties

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