Work

Parshin’s method and the geometric Bombieri–Lang conjecture

Year: 2024

Type: article

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.

Source: Indagationes Mathematicae

DOI: 10.1016/j.indag.2024.10.005

Authors: Finn Bartsch, Ariyan Javanpeykar

Institution: Radboud University Nijmegen

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,940

Funder: Radboud Universiteit