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math.DS2023
On flags of holomorphic foliations associated with singular second-order ordinary differential equations
Fernando Lourenço, Eurípedes da Silva, Fernando Reis
We consider germs of holomorphic vector fields at the origin of , with non-isolated singularities that are tangent to a holomorphic foliation of codimension one. This…
math.DS2023
Topology of first integrals via Milnor fibrations II
Fernando Reis, Maico Ribeiro, Euripedes da Silva
This survey is the continuation of a series of works aimed at applying tools from Singularity Theory to Differential Equations. More precisely, we utilize the powerfull Milnor's Fi…
math.AG2023
A brief introduction on residue theory of holomorphic foliations
Fernando Lourenço, Fernando Reis
This is a survey paper dealing with holomorphic foliations, with emphasis on residue theory and its applications. We start recalling the definition of holomorphic foliations as a s…