2 papers
math.NT2026
Algorithms for hyperelliptic Mumford Curves -adic Uniformization, -adic integrals and -adic heights
Enis Kaya, Marc Masdeu, J. Steffen Müller +1
Mumford curves generalize the Tate uniformization of elliptic curves with split multiplicative reduction and provide p-adic analogues of the uniformization of Riemann surfaces. In…
math.NT2025
Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points
Lennart Gehrmann, Xavier Guitart, Marc Masdeu
We develop the tools required to effectively evaluate the Bianchi rigid meromorphic cocycles introduced by Darmon-Gehrmann-Lipnowski at big ATR points, and use them to obtain the f…