Computation of the unipotent Albanese map on elliptic and hyperelliptic curves
DOI10.1007/s40316-019-00129-yzbMath1472.11173arXiv1711.03932OpenAlexW2998657639WikidataQ126471690 ScholiaQ126471690MaRDI QIDQ2210346
Publication date: 5 November 2020
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.03932
elliptic curveshyperelliptic curvesde Rham fundamental groupChabauty-Kim methodunipotent Albanese map
Elliptic curves over global fields (11G05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Algebraic number theory computations (11Y40) [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)]
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Cites Work
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- Coleman-Gross height pairings and the \(p\)-adic sigma function
- Selmer varieties for curves with CM Jacobians
- Motivic fundamental groups and integral points
- Realizations of polylogarithms
- A \(p\)-adic nonabelian criterion for good reduction of curves
- \(p\)-adic \(L\)-functions and Selmer varieties associated to elliptic curves with complex multiplication
- The unipotent Albanese map and Selmer varieties for curves
- Effective Chabauty
- Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
- Quadratic Chabauty and rational points. I: \(p\)-adic heights
- Explicit Chabauty-Kim for the split Cartan modular curve of level 13
- Equations différentielles à points singuliers réguliers
- The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
- Appendix and erratum to “Massey products for elliptic curves of rank 1”
- Massey products for elliptic curves of rank 1
- Explicit Coleman Integration for Hyperelliptic Curves
- An effective Chabauty–Kim theorem
- Coleman integration using the Tannakian formalism
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