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arXiv · 2407.10706

Parshin's method and the geometric Bombieri-Lang conjecture

Finn Bartsch·Ariyan Javanpeykar
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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.

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Finn Bartsch, Ariyan Javanpeykar. 2024-07-15. Parshin's method and the geometric Bombieri-Lang conjecture. https://arxiv.org/abs/2407.10706

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