English

Positive Characteristic Darboux-Jouanolou Integrability of Differential Forms

Exactly Solvable and Integrable Systems 2021-10-19 v4 Rings and Algebras

Abstract

We prove a Darboux-Jouanolou type theorem on the algebraic integrability of polynomial differential rr-forms over arbitrary fields (r1r\geq 1). We also investigate the Darboux's method for producing integrating factors.

Keywords

Cite

@article{arxiv.2102.00520,
  title  = {Positive Characteristic Darboux-Jouanolou Integrability of Differential Forms},
  author = {Edileno de Almeida Santos and Sergio Rodrigues},
  journal= {arXiv preprint arXiv:2102.00520},
  year   = {2021}
}