On the Concavity of the Arithmetic Volumes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Sep 2014Embargo end date: 01 Oct 2013 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,015, pages 7,063-7,109 (issn: 1073-7928, eissn: 1687-0247,

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Authors: Ikoma, Hideaki;

doi: 10.1093/imrn/rnu156 , 10.48550/arxiv.1310.8424

arXiv: 1310.8424

On the Concavity of the Arithmetic Volumes

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Abstract

In this note, we study the differentiability of the arithmetic volumes along arithmetic R-divisors, and give some equality conditions for the Brunn-Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic R-divisors.

35 pages

Related Organizations

University of Tokyo
Japan

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)

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