@article{10272/25426,
year = {2019},
month = {1},
url = {https://hdl.handle.net/10272/25426},
abstract = {We give an expression of the irreducible invariant curves at the singular point.
For analytically integrable systems, we give a reduced expression of its  rst integral.
This fact allows us to obtain necessary conditions of analytic integrability
at degenerate singular points.},
organization = {This work has been partially supported by Ministerio de
Economia y Competitividad, Plan Nacional I+D+I cofinanced with FEDER
funds, in the frame of the project MTM2014-56272-C2-02, and by Consejería
de Educacion y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM-
1658).},
publisher = {Elsevier},
title = {Invariant curves and analytic integrability of a planar vector field},
doi = {10.1016/j.jde.2018.07.074},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}