• Corpus ID: 237372451

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

@inproceedings{FernandezPerez2021OnTM,
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},
year={2021}
}
• Published 31 August 2021
• Mathematics
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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