Massey products for elliptic curves of rank 1

DOI10.1090/S0894-0347-2010-00675-3 10.1090/S0894-0347-10-00665-X; 10.1090/S0894-0347-2010-00675-3zbMath1225.11077arXiv0901.4668OpenAlexW2013643598MaRDI QIDQ3584362

Minhyong Kim

Publication date: 27 August 2010

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

Full work available at URL: https://arxiv.org/abs/0901.4668

zbMATH Keywords

elliptic curveMassey product

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items

"Equation missing" -Integral Points on a Mordell Curve, Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting), Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves, Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties, A control theorem for the torsion Selmer pointed set, Explicit Vologodsky integration for hyperelliptic curves, Quadratic Chabauty for modular curves: algorithms and examples, M_{0, 5}: Toward the Chabauty–Kim method in higher dimensions, Tangential localization for Selmer varieties, Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting), Computing integral points on hyperelliptic curves using quadratic Chabauty, Arithmetic Chern–Simons Theory II, Rational motivic path spaces and Kim's relative unipotent Section conjecture, Computation of the unipotent Albanese map on elliptic and hyperelliptic curves, Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture, An effective Chabauty–Kim theorem, Higher Toda brackets and Massey products, Explicit Coleman Integration for Hyperelliptic Curves, A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves, Arithmetic gauge theory: A brief introduction, Appendix and erratum to “Massey products for elliptic curves of rank 1”, Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture

Cites Work

• Selmer varieties for curves with CM Jacobians
• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Hida families and rational points on elliptic curves
• The unipotent Albanese map and Selmer varieties for curves
• Unipotent variations of mixed Hodge structure
• The de Rham homotopy theory of complex algebraic varieties. I
• Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)
• \(p\)-adic multiple zeta values. I: \(p\)-adic multiple polylogarithms and the \(p\)-adic KZ equation
• Higher order operations in Deligne cohomology
• The \(\ell\)-component of the unipotent Albanese map
• Equations différentielles à points singuliers réguliers
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Towards non–abelian 𝑝–adic Hodge theory in the good reduction case
• Massey products and ideal class groups
• A De Rham–Witt approach to crystalline rational homotopy theory
• The Bar Construction and Affine Stacks
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item