GEOMETRIC QUADRATIC CHABAUTY

DOI10.1017/S1474748021000244MaRDI QIDQ5881525

Bas Edixhoven, Guido Lido

Publication date: 10 March 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10752

zbMATH Keywords

rational pointscurvesquadraticChabautygeometricnonabelian

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (4)

Quadratic Chabauty for modular curves: algorithms and examples ⋮ A Chabauty-Coleman bound for surfaces ⋮ Geometric quadratic Chabauty and \(p\)-adic heights ⋮ Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6

Uses Software

• GitHub
• WIN4

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Quadratic Chabauty and rational points. I: \(p\)-adic heights
• Table of quotient curves of modular curves \(X_ 0(N)\) with genus 2
• Pink's conjecture on unlikely intersections and families of semi-abelian varieties
• Explicit Chabauty-Kim for the split Cartan modular curve of level 13
• On the theory of commutative formal groups
• Spécialisation du foncteur de Picard
• \(p\)-adic Arakelov theory
• Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Néron Models
• Rigorous computation of the endomorphism ring of a Jacobian
• A geometric linear Chabauty comparison theorem
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