Differentiability of the arithmetic volume function along the base conditions
Algebraic Geometry
2022-03-24 v4
Abstract
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.
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Cite
@article{arxiv.1807.11680,
title = {Differentiability of the arithmetic volume function along the base conditions},
author = {Hideaki Ikoma},
journal= {arXiv preprint arXiv:1807.11680},
year = {2022}
}
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49 pages