On the Poincar\'e problem for foliations on compact toric orbifolds
Complex Variables
2021-09-07 v2 Algebraic Geometry
Abstract
We give an optimal upper bound of the degree of quasi-smooth hypersurfaces which are invariant by a one-dimensional holomorphic foliation on a compact toric orbifold, i.e. on a complete simplicial toric variety. This bound depends only on the degree of the foliation and of the degrees of the toric homogeneous coordinates.
Keywords
Cite
@article{arxiv.1904.12229,
title = {On the Poincar\'e problem for foliations on compact toric orbifolds},
author = {Miguel Rodríguez Peña},
journal= {arXiv preprint arXiv:1904.12229},
year = {2021}
}
Comments
Accepted in Geometriae Dedicata