Integrals for holomorphic foliations with singularities having all leaves compact

Author:
  • XGXavier Gomez-Mont
    Xavier Gomez-Mont
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Abstract
We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.