4 papers
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…
Automorphisms of Plane Curves defined from Chebychev polynomials
Saeed Tafazolian, Jaap Top
We investigate the automorphism groups of the algebraic curves \[ \mathcal{C}_d : y^d = Ï_d(x), \] where denotes the Chebyshev polynomial of degree , defined over a f…
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
CM theory, maximal hyperelliptic curves, and Chebyshev polynomials
Saeed Tafazolia, Jaap Top
This paper studies hyperelliptic curves $\cH_d$ corresponding to over finite fields, with a Chebyshev polynomial. Starting from the case where is a…