1 citations · 1 across the 3 of their papers we have counts for
5 papers
Schwarz maps for modular curves
Yaacov Kopeliovich, Camilo Sanabria Malagón
We solve a classical problem posed by F. Klein and studied by A. Hurwitz concerning the construction of linear ordinary differential equations associated with modular transformatio…
A note on the inverse problem for finite differential Galois groups
Camilo Sanabria Malagón
In this paper we revisit the following inverse problem: given a curve invariant under an irreducible finite linear algebraic group, can we construct an ordinary linear differential…
An elementary proof of the symplectic spectral theorem
Camilo Sanabria Malagón
The classical spectral theorem completely describes self-adjoint operators on finite dimensional inner product vector spaces as linear combinations of orthogonal projections onto p…
An algorithm for computing differential equations for invariant curves
Camilo Sanabria Malagón
In this paper we describe an algorithm based on the Picard-Vessiot theory that constructs, given any curve invariant under a finite linear algebraic group over the complex numbers,…
Schwarz maps of Algebraic Linear Ordinary Differential Equations
Camilo Sanabria Malagón
A linear ordinary differential equation is called algebraic if all its solution are algebraic over its field of definition. In this paper we solve the problem of finding closed for…