2 papers
math.NT2025
Linear quadratic Chabauty
Stevan GajoviÄ, J. Steffen Müller
We present a new quadratic Chabauty method to compute the integral points on certain even degree hyperelliptic curves. Our approach relies on a nontrivial degree zero divisor suppo…
math.NT2025
Algorithms for -adic Heights on Hyperelliptic Curves of Arbitrary Reduction
Francesca Bianchi, Enis Kaya, J. Steffen Müller
In this paper, we develop an algorithm for computing Coleman--Gross (and hence NekováÅ) -adic heights on hyperelliptic curves over number fields with arbitrary reduction type…