5 citations · 8 across the 4 of their papers we have counts for
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math.NT2017
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…
math.NT2017
Explicit Coleman integration for curves
Jennifer S. Balakrishnan, Jan Tuitman
The Coleman integral is a -adic line integral that plays a key role in computing several important invariants in arithmetic geometry. We give an algorithm for explicit Coleman i…
math.NT2017
Computing zeta functions of generic projective hypersurfaces in larger characteristic
Jan Tuitman
We give improvements of the deformation method for computing the zeta function of a generic projective hypersurface in characteristic~ that either reduce the dependence on~ o…