RT info:eu-repo/semantics/article T1 Generalized poincaré-Dulac singularities of holomorphic foliations A1 Fernández Sánchez, Percy A1 Mozo Fernández, Jorge K1 Holomorphic foliations K1 Singularities K1 Poincaré-Dulac K1 Holonomy K1 12 Matemáticas AB In this paper, we study the analytic classification of a class of nilpotent singularities ofholomorphic foliations in (C2, 0), those exhibiting a Poincaré-Dulac type singularityin their reduction process. This analytic classification is based in the holonomy of acertain component of the exceptional divisor. Finally, as a consequence, we show thatthese singularities exhibit a formal analytic rigidity PB Springer SN 1017-060X YR 2024 FD 2024 LK https://uvadoc.uva.es/handle/10324/75232 UL https://uvadoc.uva.es/handle/10324/75232 LA eng NO Bulletin of the Iranian Mathematical Society, 2024, vol.50, n.6 NO Producción Científica DS UVaDOC RD 09-mar-2025