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arXiv · 2009.08663

Arithmetic over trivially valued field and its applications

Wenbin Luo
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Abstract

By some result on the study of arithemtic over trivially valued field, we find its applications to Arakelov geometry over adelic curves. We prove a partial result of the continuity of arithmetic $\chi$-volume along semiample divisors. Moreover, we give a upper bound estimate of arithmetic Hilbert-Samuel function.

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Wenbin Luo. 2020-09-18. Arithmetic over trivially valued field and its applications. https://arxiv.org/abs/2009.08663

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