Camilo Sanabria

activity

20082024

most citedThe inverse problem for the lattice points

1 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

math.CA2024

Liouvillian Solutions of Third Order Differential Equations

Camilo Sanabria, Thierry Combot

Consider a third order linear differential equation $L (f) = 0$ , where $L \in Q (z) [\partial_{z}]$ . We design an algorithm computing the Liouvillian solutions of $L (f) = 0$ . The red…

math.DS2018

A symplectic Kovacic's algorithm in dimension 4

Thierry Combot, Camilo Sanabria

Let $L$ be a $4$ th order differential operator with coefficients in $K (z)$ , with $K$ a computable algebraically closed field. The operator $L$ is called symplecti…

q-bio.PE2017

The role of disease cycles in the endemicity of infectious diseases

Esteban Vargas, Camilo Sanabria

Vector-borne diseases with reservoir cycles are complex to understand because new infections come from contacts of the vector with humans and different reservoirs. In this scenario…

math.AC2010

Differential equations, difference equations and algebraic relations: An extension to a theorem of Compoint

Camilo Sanabria

Let C be an algebraically closed field and X a projective curve over C. Consider an ordinary linear differential equation, or a linear differ- ence equation, with coefficients in t…

math.NT2010★ 1 cited

The inverse problem for the lattice points

Zeljka Ljujic, Camilo Sanabria

Fix an positive integer $n$ . Let $K \subseteq R^{n}$ be a compact set such that $K + Z^{n} = R^{n}$ . We prove, via Algebraic Topology, that the integer points of the…

math.AG2010

On linear differential equations with reductive Galois group

Camilo Sanabria

Given a connection on a meromorphic vector bundle over a compact Riemann surface with reductive Galois group, we associate to it a projective variety. Connections such that their a…

math.NT2010

A note on the inverse problem for the lattice points

Zeljka Ljujic, Camilo Sanabria

Let $K \subseteq R^{2}$ be a compact set such that $K + Z^{2} = R^{2}$ . We prove, via Algebraic Topology, that the integer points of the difference set of $K$ , $(K-K…

math.AG2008★ 1 cited

Reversible linear differential equations

Camilo Sanabria

Let $\nabla$ be a meromorphic connection on a vector bundle over a compact Riemann surface $Γ$ . An automorphism $σ : Γ \to Γ$ is called a symmetry of $\nabla$ if the pull-back bundle a…