Bounded limit cycles of polynomial foliations of $mathbb CP^2$

In this article we prove in a new way that a generic polynomial vector field in $mathbb C^2$ possesses countably many homologically independent limit cycles. The new proof needs no estimates on integrals, provides thinner exceptional set for quadratic vector fields, and provides limit cycles that stay in a bounded domain.

Bounded limit cycles of polynomial foliations of $mathbb CP^2$ Institutional Repository Document