Geometric quadratic Chabauty over number fields

DOI10.1090/tran/8802OpenAlexW3192255450MaRDI QIDQ5881743

David Lilienfeldt, Pavel Čoupek, Unnamed Author, Zijian Yao

Publication date: 13 March 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05235

zbMATH Keywords

rational pointsbiextensiongeometric quadratic ChabautyPoincaré torsor

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) [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)]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit Chabauty over number fields
• Most odd degree hyperelliptic curves have only one rational point
• Uniform bounds for the number of rational points on curves of small Mordell-Weil rank
• The unipotent Albanese map and Selmer varieties for curves
• Effective Chabauty
• Finiteness theorems for abelian varieties over number fields.
• Galois properties of torsion points on abelian varieties
• Quadratic Chabauty and rational points. I: \(p\)-adic heights
• Quadratic Chabauty for modular curves and modular forms of rank one
• Explicit quadratic Chabauty over number fields
• Explicit Chabauty-Kim for the split Cartan modular curve of level 13
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• On the theory of commutative formal groups
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• A geometric linear Chabauty comparison theorem
• Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties
• Algorithms for Chow-Heegner points via iterated integrals
• An effective Chabauty–Kim theorem
• Independence of rational points on twists of a given curve
• The Chabauty–Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions
• Zur Arithmetik in abelschen Zahlkörpern.

This page was built for publication: Geometric quadratic Chabauty over number fields