Parshin's method and the geometric Bombieri-Lang conjecture
Algebraic Geometry
2024-10-28 v2 Number Theory
Abstract
In this short survey, we explain Parshin's proof of the geometric Bombieri-Lang conjecture, and show that it can be used to give an alternative proof of Xie-Yuan's recent resolution of the geometric Bombieri-Lang conjecture for projective varieties with empty special locus and admitting a finite morphism to a traceless abelian variety.
Keywords
Cite
@article{arxiv.2407.10706,
title = {Parshin's method and the geometric Bombieri-Lang conjecture},
author = {Finn Bartsch and Ariyan Javanpeykar},
journal= {arXiv preprint arXiv:2407.10706},
year = {2024}
}
Comments
10 pages. Survey note. Jacob Murre SI v2. minor improvements