Poincar\'e problem for weighted projective foliations
Algebraic Geometry
2018-10-15 v2 Complex Variables
Dynamical Systems
Abstract
We give a bounding of degree of quasi-smooth hypersurfaces which are invariant by a one dimensional holomorphic foliation of a given degree on a weighted projective space.
Keywords
Cite
@article{arxiv.1406.4160,
title = {Poincar\'e problem for weighted projective foliations},
author = {F. E. Brochero Martínez and Maurício Corrêa and A. M. Rodríguez},
journal= {arXiv preprint arXiv:1406.4160},
year = {2018}
}
Comments
We improve the bound for the Poincare problem; we include an example; 13 pages