@article{10272/20445,
year = {2021},
url = {http://hdl.handle.net/10272/20445},
abstract = {We characterize, using normal forms of quasi-homogeneous expansions, the analytic vector fields at nilpotent singular point having an algebraic first integral over the ring C [[ x, y ]] . As a consequence, we provide a link between the algebraic integrability problem and the existence of a formal inverse integrat- ing factor which is null at the singular point.},
organization = {This work has been partially supported by Ministerio de Ciencia, Innovación y Universidades, Spain (project PGC2018-096265-BI00) and by Consejería de Economía, Innovación, Ciencia y Empleo
de la Junta de Andalucía, Spain (projects FQM-276, UHU-1260150
and P12-FQM-1658

Funding for open access charge: Universidad de Huelva / CBUA.},
publisher = {Elsevier},
title = {Algebraic integrability of nilpotent planar vector fields},
doi = {10.1016/j.chaos.2021.110765},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}