A relative bigness inequality and equidistribution theorem over function fields
Algebraic Geometry
2022-09-14 v3 Dynamical Systems
Abstract
For any line bundle written as a subtraction of two ample line bundles, Siu's inequality gives a criterion on its bigness. We generalize this inequality to a relative case. The arithmetic meaning behind the inequality leads to its application on algebraic dynamic systems, which is the equidistribution theorem of generic and small net of subvarieties over a function field.
Keywords
Cite
@article{arxiv.2112.13206,
title = {A relative bigness inequality and equidistribution theorem over function fields},
author = {Wenbin Luo},
journal= {arXiv preprint arXiv:2112.13206},
year = {2022}
}