On the conjectures of Vojta and Campana over function fields with explicit exceptional sets
Number Theory
2022-03-02 v1 Algebraic Geometry
Abstract
We prove new cases of Vojta's conjectures for surfaces in the context of function fields, with truncation equal to one and providing an effective explicit description of the exceptional set. We also prove a general and explicit result towards Campana's conjecture over complex function fields of curves. Our methods rely on a local study of -integral varieties.
Keywords
Cite
@article{arxiv.2203.00626,
title = {On the conjectures of Vojta and Campana over function fields with explicit exceptional sets},
author = {Natalia Garcia-Fritz},
journal= {arXiv preprint arXiv:2203.00626},
year = {2022}
}