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arXiv · 1807.11680

Differentiability of the arithmetic volume function along the base conditions

Hideaki Ikoma
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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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Hideaki Ikoma. 2018-07-31. Differentiability of the arithmetic volume function along the base conditions. https://arxiv.org/abs/1807.11680

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