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arXiv · 2303.03377

Differentiability of the $χ$-volume function over an adelic curve

Antoine Sédillot
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Abstract

In this article, we show a differentiability property for the $χ$-volume function on the ample cone of adelic line bundles over an adelic curve. This result is deduced from a non-Archimedean counterpart of a diffrentiability result of Witt Nyström. As an application, we give a logarithmic equidistribution result over adelic curves.

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Antoine Sédillot. 2023-11-03. Differentiability of the $χ$-volume function over an adelic curve. https://arxiv.org/abs/2303.03377

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