Classification of flat pencils of foliations on compact complex surfaces
Complex Variables
2020-01-24 v2 Algebraic Geometry
Abstract
Related to the classification of regular foliations in a complex algebraic surface, we address the problem of classifying the complex surfaces which admit a flat pencil of foliations. On this matter, a classification of flat pencils which admit foliations with a first integral of genus one and isolated singularities was done by Lins Neto. In this work, we complement Lins Neto's work, by obtaining the classification of compact complex surfaces which have a pencil with an invariant tangency set.
Cite
@article{arxiv.1908.08197,
title = {Classification of flat pencils of foliations on compact complex surfaces},
author = {Liliana Puchuri},
journal= {arXiv preprint arXiv:1908.08197},
year = {2020}
}
Comments
To appear at Annales de l'Institut Fourier