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arXiv · 1905.05447

Volume function over a trivially valued field

Tomoya Ohnishi
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Abstract

We introduce an adelic Cartier divisor over a trivially valued field and discuss the bigness of it. For bigness, we give the integral representation of the arithmetic volume and prove the existence of limit of it. Moreover, we show that the arithmetic volume is continuous and log concave.

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Tomoya Ohnishi. 2019-05-14. Volume function over a trivially valued field. https://arxiv.org/abs/1905.05447

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