6 citations · 17 across the 10 of their papers we have counts for
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Stability of pullbacks of foliations on weighted projective spaces
Javier Gargiulo Acea, Ariel Molinuevo, Federico Quallbrunn +1
We show a stability-type theorem for foliations on projective spaces which arise as pullbacks of foliations with a split tangent sheaf on weighted projective spaces. As a consequen…
Singular locus of q-logarithmic foliations
Ariel Molinuevo, Federico Quallbrunn
We determine the structure of the singular locus of generic codimension- logarithmic foliations and its relation with the unfoldings of said foliations. In the case where the am…
Families and unfoldings of singular holomorphic Lie Algebroids
Maurício Corrêa, Ariel Molinuevo, Federico Quallbrunn
In this paper, we investigate families of singular holomorphic Lie algebroids on complex analytic spaces. We introduce and study a special type of deformation called unfoldings of…
Rational pullbacks of toric foliations
Javier Gargiulo Acea, Ariel Molinuevo, Sebastián Velazquez
This article is dedicated to the study of singular codimension foliations on a simplicial complete toric variety and their pullbacks by dominant rational maps…
Foliations with persistent singularities
Cesar Massri, Ariel Molinuevo, Federico Quallbrunn
Let be a differential -form defining a foliation of codimension in a projective variety. In this article we study the singular locus of in various settings. We relat…
On first order deformations of homogeneous foliations
Ariel Molinuevo, Bruno Scárdua
We study analytic deformations of holomorphic foliations given by homogeneous integrable one-forms in the complex affine space . The deformation is supposed to be of f…
On the Camacho-Lins Neto regularity
Ariel Molinuevo, Federico Quallbrunn
We work with codimension one foliations in the projective space , given a differential one form , such differential fo…
On the geometry of the singular locus of a codimension one foliation in
Omegar Calvo-Andrade, Ariel Molinuevo, Federico Quallbrunn
We will work with codimension one holomorphic foliations over the complex projective space, represented by integrable forms $ω\in H^0(Ω^1_{\PP^n}(e))$. Our main result is that, und…
The Kupka Scheme and Unfoldings
César Massri, Ariel Molinuevo, Federico Quallbrunn
Let be a differential 1-form defining an algebraic foliation of codimension 1 in projective space. In this article we use commutative algebra to study the singular locus of …
Unfoldings and Deformations of Rational and Logarithmic Foliations
Ariel Molinuevo
We study codimension one foliations in projective space \PP^n over \CC by looking at its first order perturbations: unfoldings and deformations. We give special attention to foliat…