13 citations · 30 across the 8 of their papers we have counts for
16 papers
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 Nekovář) -adic heights on hyperelliptic curves over number fields with arbitrary reduction type ab…
Linear quadratic Chabauty
Stevan Gajović, 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…
Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
J. Steffen Müller, Berno Reitsma
We introduce an algorithm to compute the rational torsion subgroup of the Jacobian of a hyperelliptic curve of genus 3 over the rationals. We apply a Magma implementation of our al…
p-adic adelic metrics and Quadratic Chabauty I
Amnon Besser, J. Steffen Müller, Padmavathi Srinivasan
We give a new construction of -adic heights on varieties over number fields using -adic Arakelov theory. In analogy with Zhang's construction of real-valued heights in terms…
The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf
Christian Curilla, J. Steffen Müller
We construct the minimal regular model of the Fermat curve of odd squarefree composite exponent over the -th cyclotomic integers. As an application, we compute upper and low…
Canonical Heights on Genus Two Jacobians
J. Steffen Müller, Michael Stoll
Let be a number field and let be a curve of genus 2 with Jacobian variety . In this paper, we study the canonical height . More spec…