23 citations · 45 across the 9 of their papers we have counts for
9 papers · 1 filter
On the connectedness of the singular set of holomorphic foliations
Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim +1
Let be a singular holomorphic foliation of dimension on a projective -manifold . Assume that the determinant of the normal sheaf of is ample…
Dimension two holomorphic distributions on four-dimensional projective space
Omegar Calvo-Andrade, Maurício Corrêa, Julio Fonseca-Quispe
We study two-dimensional holomorphic distributions on . We classify dimension two distributions, of degree at most , with either locally free tangent sheaf or loca…
Codimension one distributions and stable rank 2 reflexive sheaves on threefolds
Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim
We show that codimension one distributions with at most isolated singularities on certain smooth projective threefolds with Picard rank one have stable tangent sheaves. The ideas i…
Codimension one holomorphic distributions on the projective three-space
Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim
We study codimension one holomorphic distributions on the projective three-space, analyzing the properties of their singular schemes and tangent sheaves. In particular, we provide…
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…
On non-Kupka points of codimension one foliations on
O. Calvo-Andrade, M. Corrêa, A. Fernández-Pérez
We study the singular set of a codimension one holomorphic foliations on . We find a local normal form of a codimension two component of the singular set that is not…
Higher codimensional foliations and Kupka singularities
Maurício Corrêa, Omegar Calvo-Andrade, Arturo Fernández-Pérez
We consider holomorphic foliations of dimension and codimension in the projective space , with a compact connected component of the Kupka set. We prove…
Foliations with a radial Kupka set on projective spaces
Omegar Calvo-Andrade
We consider the set $K(n,c,\rtt)$ of codimension one holomorphic foliations on , with Chern class , and with a compact, connected Kupka set of radial transversa…
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…