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math.AG2022
On the fiber product over infinite-genus Riemann surfaces
John A. Arredondo, Saúl Quispe, Camilo Ramírez Maluendas
Considering non-constant holomorphic maps , , between non-compact Riemann surfaces for which it is associated its fiber product $S_{1}\times_{(β_…
math.AG2022
Plane polynomials and Hamiltonian vector fields determined by their singular points
John A. Arredondo, Jesús Muciño-Raymundo
Let be critical points of a polynomial in the plane , where is or . Our goal is to study the crit…
math.DS2022
Periodic oscillations in a 2N-body problem
Oscar Perdomo, Andrés Rivera, John A. Arredondo +1
Hip-Hop solutions of the -body problem are solutions that satisfy at every instance of time, that the bodies with the same mass , are at the vertices of two regular …