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Generalized Poincaré-Dulac singularities of holomorphic foliations
(Springer, 2024-12-01)
In this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in (C2,0), those exhibiting a Poincaré-Dulac type singularity in their reduction process. This analytic classification is based in the holonomy of a certain component of the exceptional divisor. Finally, as a consequence, we show that these singularities exhibit a formal analytic rigidity.

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