Mathematics > Algebraic Geometry
[Submitted on 31 Jul 2018 (v1), last revised 23 Mar 2022 (this version, v4)]
Title:Differentiability of the arithmetic volume function along the base conditions
View PDFAbstract:In this paper, we show that the arithmetic volume function defined on the space of pairs of adelic R-Cartier divisors and base conditions is differentiable at a big pair, and that its derivative is given by an arithmetic restricted positive intersection number defined for the pair.
Submission history
From: Hideaki Ikoma [view email][v1] Tue, 31 Jul 2018 06:47:40 UTC (22 KB)
[v2] Wed, 1 Aug 2018 01:42:00 UTC (22 KB)
[v3] Sun, 5 Aug 2018 17:17:51 UTC (23 KB)
[v4] Wed, 23 Mar 2022 13:00:58 UTC (29 KB)
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