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2019-01-22  01:13 hrs.

Topological Moduli Spaces of Holomorphic Foliations

Jean F. Mattei
Université Paul Sabatier


The goal is to describe the set on the topological classes of holomorphic foliations germs at the origin of C^2. We introduce notions of marking; We prove, under some assumptions, that when the Camacho-Sad indexes and the holonomy representations (which are topological invariants) are fixed, then the classes of marked foliations constitute an abelian group which is a finite extension of a quotient of C^N by a finitely generated subgroup. We compare this situation with the space of strongly marked foliation whose classification is given by the monodromy representation.




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