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arXiv · 1304.4805

Sliding invariants and classification of singular holomorphic foliations in the plane

Truong Hong Minh
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Abstract

By introducing a new invariant called the set of slidings, we give a complete strict classification of the class of germs of non-dicritical holomorphic foliations in the plan whose Camacho-Sad indices are not rational. Moreover, we will show that, in this class, the new invariant is finitely determined. Consequently, the finite determination of the class of isoholonomic non-dicritical foliations and absolutely dicritical foliations that have the same Dulac maps are proved.

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Truong Hong Minh. 2013-04-17. Sliding invariants and classification of singular holomorphic foliations in the plane. https://arxiv.org/abs/1304.4805

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