13 citations · 13 across the 4 of their papers we have counts for
5 papers
A lower bound for the Milnor number of vector fields
Maurício Corrêa, Gilcione Nonato Costa, Alejandra Salamanca Russi
We study holomorphic vector fields whose singular locus contains a smooth positive-dimensional local complete-intersection component. We obtain an exact global formula for its Miln…
A higher-dimensional Van den Essen type formula for projective foliations and applications
Maurício Corrêa, Gilcione Nonato Costa
Let be a one-dimensional holomorphic foliation on such that , where is a smooth complete intersection variety. We determine and compute the…
On the Milnor number of non-isolated singularities of holomorphic foliations and its topological invariance
Arturo Fernández-Pérez, Gilcione Nonato Costa, Rudy Rosas
We define the Milnor number -- as the intersection number of two holomorphic sections -- of a one-dimensional holomorphic foliation with respect to a compact connecte…
On foliations by curves with singularities of positive dimension
Arturo Fernández-Pérez, Gilcione Nonato Costa
We present enumerative results for holomorphic foliations by curves on , , with singularities of positive dimension. Some of the results presented improve pr…
Foliations by Curves with Curves as Singularities
Maurício Corrêa, Arturo Fernandez Perez, Gilcione Nonato Costa +1
Let be a holomorphic one-dimensional foliation on such that the components of its singular locus are curves and points . We determine the…