Inductive Solution of the Tangential Center Problem on Zero-Cycles

Amelia Álvarez Sánchez, José Luis Bravo Trinidad, Pavao Mardesić

Given a polynomial $f\in\C[z]$ of degree $m$, let $z_1(t),...,z_m(t)$ denote all algebraic functions defined by $f(z_k(t))=t$. Given integers $n_1...,n_m$ such that $n_1+...+n_m=0$…