Resumen de A remark on first integrals of vector fields

Andre Belotto da Silva, Martin Klimeš, Julio C. Rebelo, Helena Reis

• We provide examples of vector fields on (C3 , 0) admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and Mattei–Moussu