An effective Chabauty–Kim theorem

DOI10.1112/S0010437X19007243zbMath1428.14034arXiv1803.10102MaRDI QIDQ5377190

Jennifer S. Balakrishnan, Netan Dogra

Publication date: 23 May 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10102

zbMATH Keywords

rational pointscurveseffective methods

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Complex multiplication and moduli of abelian varieties (11G15)

Related Items

Geometric quadratic Chabauty over number fields ⋮ M_{0, 5}: Toward the Chabauty–Kim method in higher dimensions ⋮ A Chabauty-Coleman bound for surfaces ⋮ Weight filtrations on Selmer schemes and the effective Chabauty–Kim method ⋮ Genus two curves with full \(\sqrt{3}\)-level structure and Tate-Shafarevich groups ⋮ Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6 ⋮ Computation of the unipotent Albanese map on elliptic and hyperelliptic curves ⋮ Quadratic Chabauty for modular curves and modular forms of rank one

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