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arXiv · 2002.03926

Arakelov theory on arithmetic surfaces over a trivially valued field

Huayi Chen·Atsushi Moriwaki
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Abstract

In this article, we consider an analogue of Arakelov theory of arithmetic surfaces over a trivially valued field. In particular, we establish an arithmetic Hilbert-Samuel theorem and studies the effectivity up to R-linear equivalence of pseudoeffective metrised R-divisors.

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Huayi Chen, Atsushi Moriwaki. 2020-02-10. Arakelov theory on arithmetic surfaces over a trivially valued field. https://arxiv.org/abs/2002.03926

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