Continuous Extension and Birational Invariance of χ-Volume Over an Adelic Curve
arXiv:2303.01604
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 χ-volume and its continuous extension on the semiample cone.
arXiv admin note: text overlap with arXiv:2009.08663