3 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.AG2026
Whittaker groups and hyperelliptic curves
Marius van der Put, Jaap Top
Let K be a complete, non-archimedean valued field with a residue field of characteristic different from 2. A Whittaker group G is a discontinuous subgroup of PGL(2,K), freely gener…
math.CA2025
Isomonodromy and Painlevé Type Equations, Case Studies
Marius van der Put, Jaap Top
There is an abundance of equations of Painlevé type besides the classical Painlevé equations. Classifications have been computed by the Japanese school. Here we consider PainlevÅ