Edileno de Almeida Santos

activity

20162021

collaborators

5 papers

math.RA2021

Positive characteristic Poincaré Lemma

Edileno de Almeida Santos, Sergio Rodrigues

Let $K$ be a field of characteristic $p > 0$ and $ω$ be an $r$ -form in $K^{n}$ . In this case, differently of fields of characteristic zero, the Poincaré Lemma is not true because the…

nlin.SI2021

Positive Characteristic Darboux-Jouanolou Integrability of Differential Forms

Edileno de Almeida Santos, Sergio Rodrigues

We prove a Darboux-Jouanolou type theorem on the algebraic integrability of polynomial differential $r$ -forms over arbitrary fields ( $r \geq 1$ ). We also investigate the Darboux's m…

math.RA2019

Darboux-Jouanolou Integrability for Arbitrary Fields

Edileno de Almeida Santos, Sergio Rodrigues

We prove a Darboux-Jouanolou type theorem on the algebraic integrability of differential 1-forms over arbitrary fields.

math.DS2018

Invariant curves for holomorphic foliations on singular surfaces

Edileno de Almeida Santos

The Separatrix Theorem of C. Camacho and P. Sad guarantees the existence of invariant curve (separatrix) passing through the singularity of germ of holomorphic foliation on complex…

math.DS2016

Positive Rational Nodal Leaves on Surfaces

Edileno de Almeida Santos

We consider singular holomorphic foliations on compact complex surfaces with invariant rational nodal curve of positive self-intersection. Then, under some assumptions, we list all…