Continuous Extension of Arithmetic Volumes

DOI10.1093/imrn/rnp068zbMath1192.14022arXiv0809.1129OpenAlexW2963828695MaRDI QIDQ3182291

Atsushi Moriwaki

Publication date: 8 October 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1129

zbMATH Keywords

continuous extensionarithmetic volume function

Mathematics Subject Classification ID

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

Related Items (8)

Adelic Cartier divisors with base conditions and the continuity of volumes ⋮ Effective bound of linear series on arithmetic surfaces ⋮ Higher dimensional essential minima and equidistribution of cycles ⋮ Estimation of arithmetic linear series ⋮ Adelic Divisors on Arithmetic Varieties ⋮ Toward Dirichlet's unit theorem on arithmetic varieties ⋮ Boundedness of the successive minima on arithmetic varieties ⋮ The theta invariants and the volume function on arithmetic varieties

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