Bounds on the number of rational points of curves in families

DOI10.1112/blms.12774arXiv2201.11077MaRDI QIDQ6096766

Pedro Lemos, Alex Torzewski

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11077

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (p)-adic and power series fields (11D88)

Cites Work

• Diophantine problems and \(p\)-adic period mappings
• Finiteness theorems for abelian varieties over number fields.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Uniformity of rational points
• Exposé Bourbaki 1182 : Non-densité des points entiers et variations de structures de Hodge (d’après B. Lawrence, W. Sawin et A. Venkatesh)
• Unnamed Item