Edileno de Almeida Santos

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20162021

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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…

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.