# Darboux-Jouanolou Integrability for Arbitrary Fields

## TL;DR

This paper extends the Darboux-Jouanolou integrability theorem to differential 1-forms over any field, broadening the scope of algebraic integrability criteria.

## Contribution

It generalizes the Darboux-Jouanolou theorem to arbitrary fields, providing a new theoretical framework for algebraic integrability.

## Key findings

- Proves a Darboux-Jouanolou type theorem over arbitrary fields
- Establishes conditions for algebraic integrability of differential 1-forms
- Broadens the applicability of integrability criteria to all fields

## Abstract

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