34 citations · 39 across the 7 of their papers we have counts for
8 papers
Deformations of exterior differential ideals and applications
Fernando Cukierman, César Massri
We develop some basic facts on deformations of exterior differential ideals on a smooth complex algebraic variety. With these tools we study deformations of several types of differ…
Stability of logarithmic differential one-forms
Fernando Cukierman, Javier Gargiulo Acea, César Massri
This article deals with the irreducible components of the space of codimension one foliations in a projective space defined by logarithmic forms of a certain degree. We study the g…
Enumeration of surfaces containing an elliptic quartic curve
Fernando Cukierman, Angelo Lopez, Israel Vainsencher
A very general surface of degree at least four in projective space of dimension three contains no curves other than intersections with surfaces. We find a formula for the degree of…
Varieties of complexes and foliations
Fernando Cukierman
Let denote the moduli space of algebraic foliations of codimension one and degree in complex proyective space of dimension . We show that $\mathcal F(r, d…
A note on the j invariant and foliations
Omegar Calvo-Andrade, Fernando Cukierman
In this note we analyse the Exceptional Component of the space of integrable forms of degree two, introduced by Cerveau-Lins Neto, in terms of the geometry of Veronese curves and c…
Stability of Holomorphic Foliations with Split Tangent Sheaf
Fernando Cukierman, Jorge Vitorio Pereira
We show that the set of singular holomorphic foliations of the projective spaces with split tangent sheaf and with good singular set is open in the space of holomorphic foliations.…