On the Bombieri-Lang conjecture over finitely generated fields

DOI10.2140/ant.2022.16.2409OpenAlexW3113811664MaRDI QIDQ2684555

Giulio Bresciani

Publication date: 16 February 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15765

zbMATH Keywords

Bombieri-Lang conjecturevarieties of general type over global fields

Mathematics Subject Classification ID

Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items

The field of moduli of a divisor on a rational curve

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• A high fibered power of a family of varieties of general type dominates a variety of general type
• Lang's Conjectures, Fibered Powers, and Uniformity
• Mordells Vermutung über rationale Punkte auf algebraischen Kurven und Funktionenkörper
• Hyperbolic and Diophantine analysis
• Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
• Néron Models
• Uniformity of rational points