Algaba Durán, AntonioGarcía García, Cristóbal, MatemáticoReyes Columé, Manuel2022-01-242022-01-242021Algaba, A., García, C., Reyes, M.: "Algebraic integrability of nilpotent planar vector fields". Chaos, Solitons & Fractals, Volume 145, 2021, 110765, ISSN 0960-0779, https://doi.org/10.1016/j.chaos.2021.110765.0960-0779http://hdl.handle.net/10272/20445We 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/journal article10.1016/j.chaos.2021.110765open access