• Corpus ID: 237372451

On the Milnor number of non-isolated singularities of holomorphic foliations and its topological invariance

  title={On the Milnor number of non-isolated singularities of holomorphic foliations and its topological invariance},
  author={Arturo Fern'andez-P'erez and Gilcione Nonato Costa and Rudy Rosas},
We define the Milnor number – as the intersection number of two holomorphic sections – of a one-dimensional holomorphic foliation F with respect to a compact connected component C of its singular set. Under certain conditions, we prove that the Milnor number of F on a three-dimensional manifold with respect to C is invariant by C 1 topological equivalences. 


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