Weight filtrations on Selmer schemes and the effective Chabauty–Kim method
Weight filtrations on Selmer schemes and the effective Chabauty–Kim method
We develop an effective version of the Chabauty–Kim method which gives explicit upper bounds on the number of $S$ -integral points on a hyperbolic curve in terms of dimensions of certain Bloch–Kato Selmer groups. Using this, we give a new ‘motivic’ proof that the number of solutions to the $S$ …