Parshin's method and the geometric Bombieri-Lang conjecture

Fuente: arXiv
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Auteurs principaux: Bartsch, Finn, Javanpeykar, Ariyan
Format: Preprint
Publié: 2024
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author Bartsch, Finn
Javanpeykar, Ariyan
author_facet Bartsch, Finn
Javanpeykar, Ariyan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_10706
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Parshin's method and the geometric Bombieri-Lang conjecture
Bartsch, Finn
Javanpeykar, Ariyan
Algebraic Geometry
Number Theory
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.
title Parshin's method and the geometric Bombieri-Lang conjecture
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2407.10706