Tangential localization for Selmer varieties

DOI10.1215/00127094-1507332zbMath1268.11079OpenAlexW2030832413MaRDI QIDQ410139

Minhyong Kim

Publication date: 3 April 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00127094-1507332

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (10)

Weight filtrations on Selmer schemes and the effective Chabauty–Kim method ⋮ Mixed Tate motives and the unit equation. II ⋮ Refined Selmer equations for the thrice-punctured line in depth two ⋮ Arithmetic Chern–Simons Theory II ⋮ Rational motivic path spaces and Kim's relative unipotent Section conjecture ⋮ The polylog quotient and the Goncharov quotient in computational Chabauty–Kim theory II ⋮ Quadratic Chabauty and rational points. I: \(p\)-adic heights ⋮ Arithmetic gauge theory: A brief introduction ⋮ The polylog quotient and the Goncharov quotient in computational Chabauty–Kim Theory I ⋮ Diophantine problems and \(p\)-adic period mappings

Cites Work

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• Selmer varieties for curves with CM Jacobians
• Motivic fundamental groups and integral points
• \(p\)-adic \(L\)-functions and Selmer varieties associated to elliptic curves with complex multiplication
• The unipotent Albanese map and Selmer varieties for curves
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• On the conjecture of Birch and Swinnerton-Dyer
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Massey products for elliptic curves of rank 1

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