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The values of the Dedekind-Rademacher cocycle at real multiplication points
Henri Darmon, Alice Pozzi, Jan Vonk
The values of the so-called {\em Dedekind--Rademacher cocycle} at certain real quadratic arguments are shown to be global -units in the narrow Hilbert class field of the associa…
Two recent p-adic approaches towards the (effective) Mordell conjecture
Jennifer S. Balakrishnan, Alex J. Best, Francesca Bianchi +4
We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usual…
Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13
Jennifer S. Balakrishnan, Netan Dogra, J. Steffen Müller +2
We extend the explicit quadratic Chabauty methods developed in previous work by the first two authors to the case of non-hyperelliptic curves. This results in an algorithm to compu…