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- W3131282658 abstract "The main point of the paper is to take the motivic Chabauty-Kim developed in papers of Dan-Cohen--Wewers and Dan-Cohen and the author and make it work for non-rational curves. In particular, we calculate the abstract form of an element of the Chabauty-Kim ideal for $mathbb{Z}[1/ell]$-points on a punctured elliptic curve, and lay some groundwork for certain kinds of higher genus curves. For this purpose, we develop an explicit Tannakian Chabauty-Kim method using $mathbb{Q}_{p}$-Tannakian categories of Galois representations in place of $mathbb{Q}$-linear motives. In future work, we intend to use this to explicitly apply the Chabauty-Kim to a curve of positive genus in a situation where Quadratic Chabauty does not apply." @default.
- W3131282658 created "2021-03-01" @default.
- W3131282658 creator A5043606195 @default.
- W3131282658 date "2021-02-16" @default.
- W3131282658 modified "2023-09-27" @default.
- W3131282658 title "Explicit Motivic Mixed Elliptic Chabauty-Kim" @default.
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