Continuous Extension and Birational Invariance of χ-Volume Over an Adelic Curve

Published 2 Mar 2023 in math.AG and math.NT | (2303.01604v1)

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

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