11 citations · 23 across the 8 of their papers we have counts for
9 papers · 1 filter
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…
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 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 …
Isotrivial unfoldings and structural theorems for foliations on Projective spaces
Federico Quallbrunn
Following T. Suwa, we study unfoldings of algebraic foliations and their relationship with families of foliations, making focus on those unfoldings related to trivial families. The…
Families of distributions and Pfaff systems under duality
Federico Quallbrunn
A singular distribution on a non-singular variety can be defined either by a subsheaf of the tangent sheaf, or by the zeros of a subsheaf of the sheaf of 1-forms. Alt…