Continuous Extension and Birational Invariance of {\chi}-Volume Over an Adelic Curve
Algebraic Geometry
2023-03-06 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2303.01604,
title = {Continuous Extension and Birational Invariance of {\chi}-Volume Over an Adelic Curve},
author = {Wenbin Luo},
journal= {arXiv preprint arXiv:2303.01604},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2009.08663