On the concavity of the arithmetic volumes
On the concavity of the arithmetic volumes
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论算术卷的凹性
DOI：
10.1093/imrn/rnu156
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发表时间：
2015
影响因子：
1
通讯作者：
Hideaki Ikoma
中科院分区：
文献类型：
--
作者：
Shuichiro Funatsu;Hisaki Hatanaka;Yutaka Hosotani;Yuta Orikasa;Takuya Shimotani;Hideaki Ikoma
本文研究了等差体积沿着等差因子的可微性，给出了nef和大等差因子锥上等差体积的Brunn-Minkowski不等式成立的几个等价条件.
In this paper, we study the differentiability of the arithmetic volumes along arithmetic-divisors, and give some equality conditions for the Brunn–Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic-divisors.