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math.CV2025
Tessellations of rational complex functions and the Riemann's existence theorem
Alvaro Alvarez-Parrilla, Roberto Gutiérrez-Soto, Jesús Muciño-Raymundo
A complex rational function R, of degree n>1, on a compact Riemann surface M provided with a cyclic order of its q critical values, determines an homogeneous tessellation of the Ri…
math.DS2025
Abelian integrals for polynomials with trivial global monodromy on
Jesús Muciño-Raymundo, Salomón Rebollo-Perdomo
We consider infinitesimal perturbations of Hamiltonian differential equations on the complex plane , where is a polynomial of degree …