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arXiv · 1310.8424

On the concavity of the arithmetic volumes

Hideaki Ikoma
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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.

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Hideaki Ikoma. 2014-08-14. On the concavity of the arithmetic volumes. https://arxiv.org/abs/1310.8424

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