Topology of leaves of generic logarithmic foliations on ${\mathbb{CP}}^2$

Abstract

We describe the topological types of leaves of generic logarithmic foliations on the complex projective plane. We prove that all leaves, except for a finite many are biholomorphic to $\mathbb{C}$ or homeomorphic to the surface known as Loch Ness monster.

arXiv commentKey words: Singular Foliations, Logarithmic Foliations, Topology of Leaves. 1 figure

References in corpus (1)

• Genera of non-algebraic leaves of polynomial foliations of ${\mathbb{C}}^2$