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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…