22 citations · 55 across the 13 of their papers we have counts for
14 papers
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…
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…
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…
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…
Mumford curves and Mumford groups in positive characteristic
Harm H. Voskuil, Marius van der Put
A Mumford group is a discontinuous subgroup of PGL(2,K), where K denotes a non archimedean valued field, such that the quotient by is a curve of genus 0. As abstract group…
Variations for Some Painlevé Equations
Primitivo B. Acosta-Humánez, Marius van der Put, Jaap Top
This paper first discusses irreducibility of a Painlevé equation . We explain how the Painlevé property is helpful for the computation of special classical and algebraic solutio…
Isomonodromy for the Degenerate Fifth Painlevé Equation
Primitivo B. Acosta-Humánez, Marius van der Put, Jaap Top
This is a sequel to papers by the last two authors making the Riemann-Hilbert correspondence and isomonodromy explicit. For the degenerate fifth Painlevé equation, the moduli space…
Coulomb breakup of Mg and its ground state structure
Neelam Shubhchintak, R. Chatterjee, R. Shyam +1
We calculate Coulomb breakup of the neutron rich nucleus Mg on a Pb target at the beam energy of 244 MeV/nucleon within the framework of a finite range distorted wave Born a…
Real and p-adic Picard-Vessiot fields
Teresa Crespo, Zbigniew Hajto, Marius van der Put
We consider differential modules over real and p-adic differential fields such that their field of constants is real closed (respectively p-adically closed). Using Deligne's work o…
Stokes matrices for the quantum differential equations of some Fano varieties
John Alexander Cruz Morales, Marius van der Put
The classical Stokes matrices for the quantum differential equation of projective n-space are computed, using multisummation and the so-called monodromy identity. Thus, we recover…
Geometric Aspects of the Painlevé Equations and
Marius van der Put, Jaap Top
The Riemann-Hilbert approach for the equations and is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Pai…
Order one equations with the Painlevé property
Georg Muntingh, Marius van der Put
Differential equations with the Painlevé property have been studied extensively due to their appearance in many branches of mathematics and their applicability in physics. Although…
Periodic behaviors
Diego Napp, Marius van der Put, Shiva Shankar
This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to cl…
Effective descent for differential operators
Elie Compoint, Marius van der Put, Jacques-Arthur Weil
A theorem of N. Katz \cite{Ka} p.45, states that an irreducible differential operator over a suitable differential field , which has an isotypical decomposition over the alg…