Parshin’s method and the geometric Bombieri–Lang conjecture
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.
Authors
- Ariyan Javanpeykar (ORCID: https://orcid.org/0000-0002-7880-301X)
- Finn Bartsch
Institutions
- Radboud University Nijmegen (NL)
Publication Details
- Journal
- Indagationes Mathematicae
- Published
- 2024-11-04
- DOI
- https://doi.org/10.1016/j.indag.2024.10.005
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Radboud Universiteit