Adelic line bundles on quasi-projective varieties
Number Theory
2025-06-17 v9 Algebraic Geometry
Abstract
In this book, we establish a theory of adelic line bundles over quasi-projective varieties over finitely generated fields. Besides definitions of adelic line bundles, we consider their intersection theory, volume theory, and height theory, and apply these to study heights of algebraic points of quasi-projective varieties.
Keywords
Cite
@article{arxiv.2105.13587,
title = {Adelic line bundles on quasi-projective varieties},
author = {Xinyi Yuan and Shou-Wu Zhang},
journal= {arXiv preprint arXiv:2105.13587},
year = {2025}
}