3 citations · 3 across the 1 of their papers we have counts for
3 papers
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.AG2015★ 3 cited
A geometric approach to constructing elements of of curves
Ulf Kühn, J. Steffen Müller
We present a framework for constructing examples of smooth projective curves over number fields with explicitly given elements in their second K-group using elementary algebraic ge…
math.NT2012
A height inequality for rational points on elliptic curves implied by the abc-conjecture
Ulf Kühn, J. Steffen Müller
In this short note we show that the uniform abc-conjecture over number fields puts strong restrictions on the coordinates of rational points on elliptic curves. For the proof we us…