Integral points on the modular curves \(X_0(p)\)

DOI10.1016/j.jnt.2020.06.003zbMath1469.11192arXiv1910.11663OpenAlexW3042905776MaRDI QIDQ2220451

Yulin Cai

Publication date: 25 January 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11663

zbMATH Keywords

modular curveintegral pointétale morphismChevalley-Weil principle

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15)

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Effective analysis of integral points on algebraic curves
• Quantitative Chevalley-Weil theorem for curves
• Bounding the j-invariant of integral points on certain modular curves
• Bounding the j-invariant of Integral Points on Modular Curves
• Effective Siegel's theorem for modular curves
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