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math.NT2023
Computing p-adic heights on hyperelliptic curves
Stevan Gajović, J. Steffen Müller
We describe an algorithm to compute the local Coleman-Gross p-adic height at p on a hyperelliptic curve. Previously, this was only possible using an algorithm due to Balakrishnan a…
math.NT2023
Linear and quadratic Chabauty for affine hyperbolic curves
Marius Leonhardt, Martin Lüdtke, J. Steffen Müller
We give sufficient conditions for finiteness of linear and quadratic refined Chabauty-Kim loci of affine hyperbolic curves. We achieve this by constructing depth quotients…