22 citations · 56 across the 26 of their papers we have counts for
32 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…
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 an…
Automorphisms of Plane Curves defined from Chebychev polynomials
Saeed Tafazolian, Jaap Top
We investigate the automorphism groups of the algebraic curves \[ \mathcal{C}_d : y^d = φ_d(x), \] where denotes the Chebyshev polynomial of degree , defined over a fie…
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 Painlevé t…
The last chapter of the Disquisitiones of Gauss
Laura Anderson, Jasbir S. Chahal, Jaap Top
This exposition reviews what exactly Gauss asserted and what did he prove in the last chapter of {\sl Disquisitiones Arithmeticae} about dividing the circle into a given number of…
Moduli Spaces for the Fifth Painlevé Equation
Marius van der Put, Jaap Top
Isomonodromy for the fifth Painlevé equation is studied in detail in the context of certain moduli spaces for connections, monodromy, the Riemann-Hilbert morphism, and…