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arXiv · 2303.01604

Continuous Extension and Birational Invariance of {\chi}-Volume Over an Adelic Curve

Wenbin Luo
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Abstract

By giving an estimate on the minimal slopes, we prove a Hilbert-Samuel formula for semiample and semipositive adelic line bundles. We also show the birational invariance of the arithmetic {\chi}-volume and its continuous extension on the semiample cone.

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Wenbin Luo. 2023-03-02. Continuous Extension and Birational Invariance of {\chi}-Volume Over an Adelic Curve. https://arxiv.org/abs/2303.01604

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