Big Line Bundles over Arithmetic Varieties
Number Theory
2012-01-12 v2 Algebraic Geometry
Abstract
We prove a Hilbert-Samuel type result of arithmetic big line bundles in Arakelov geometry, which is an analogue of a classical theorem of Siu. An application of this result gives equidistribution of small points over algebraic dynamical systems, following the work of Szpiro-Ullmo-Zhang. We also generalize Chambert-Loir's non-archimedean equidistribution.
Cite
@article{arxiv.math/0612424,
title = {Big Line Bundles over Arithmetic Varieties},
author = {Xinyi Yuan},
journal= {arXiv preprint arXiv:math/0612424},
year = {2012}
}