On the Poincaré problem for foliations on compact toric orbifolds

Name: Work Video:
Duration: 3 min 30 s
Description: 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.
Miguel Rodríguez Peña
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