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arXiv · 1904.12229

On the Poincar\'e problem for foliations on compact toric orbifolds

Miguel Rodríguez Peña
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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.

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Miguel Rodríguez Peña. 2019-04-27. On the Poincar\'e problem for foliations on compact toric orbifolds. https://arxiv.org/abs/1904.12229

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