Codimension one distributions of degree 2 on the three-dimensional projective space -
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Let $\mathscr {F} $ be a holomorphic foliation of degree $2 $ on $\mathbb {P}^ n $ with
dimension $ k\geq 2$. We prove that either $\mathscr {F} $ is algebraically integrable, or …

Let X be a smooth projective variety. We show that the map that sends a codimension one
distribution on X to its singular scheme is a morphism from the moduli space of distributions …

We study foliations by curves on the three-dimensional projective space with no isolated
singularities, which is equivalent to assuming that the conormal sheaf is locally free. We …

On classification and moduli spaces of holomorphic distributions Page 1 Vol. 53, 23–51 ©2023
http://doi.org/10.21711/231766362023/rmc533 On classification and moduli spaces of …

This paper is devoted to the study of holomorphic distributions of dimension and
codimension one on smooth weighted projective complete intersection Fano manifolds X …

A contact distribution on projective three-space is defined by the 1-form $ x_2dx_1-
x_1dx_2+ x_4dx_3-x_3dx_4 $, up to a change of projective coordinates. The family of …

In this work we shall present a survey on problems and results on singular holomorphic
foliations and Pfaff systems on complex manifolds assuming that these objects possess …

We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay
subvariety X of P^ N infinite Cohen-Macaulay type becomes of finite Cohen-Macaulay type …

In this work, we study inequalities and enumerative formulas for flags of Pfaff systems on
$\mathbb {P}^ n_ {\mathbb {C}} $. More specifically, we find the number of independent Pfaff …