On the geometry, flows and visualization of singular complex analytic vector fields on Riemann surfaces

Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo, Selene Solorza-Calderón +1

Motivated by the wild behavior of isolated essential singularities in complex analysis, we study singular complex analytic vector fields $X$ on arbitrary Riemann surfaces $M$. By v…