Algebraic integrability with bounded genus
We provide an algorithm which decides whether a polynomial foliation F C 2 on the complex plane has a polynomial first integral of genus g ≠ 1 . Except in a specific case, an extension of the algorithm also decides if F C 2 has a rational first integral of that genus.
Authors
- Francisco Monserrat (ORCID: https://orcid.org/0000-0003-2221-0140)
- Elvira Pérez-Callejo (ORCID: https://orcid.org/0000-0001-5399-1221)
- Carlos Galindo (ORCID: https://orcid.org/0000-0002-3908-4462)
Institutions
- Universitat Jaume I (ES)
- Universitat Politècnica de València (ES)
Publication Details
- Journal
- Journal of Differential Equations
- Published
- 2025-06-02
- DOI
- https://doi.org/10.1016/j.jde.2025.113466
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Universitat Jaume I
- Ministerio de Ciencia e Innovación
- Conselleria d'Educació, Investigació, Cultura i Esport