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math.NT2021★ 1 cited
Weight filtrations on Selmer schemes and the effective Chabauty--Kim method
L. Alexander Betts
We develop an effective version of the Chabauty--Kim method which gives explicit upper bounds on the number of -integral points on a hyperbolic curve in terms of dimensions of c…
math.NT2021★ 2 cited
Refined Selmer equations for the thrice-punctured line in depth two
Alex J. Best, L. Alexander Betts, Theresa Kumpitsch +5
In [Kim05], Kim gave a new proof of Siegel's Theorem that there are only finitely many -integral points on . One advantage of Kim…