RT Journal Article T1 Analytic integrability around a nilpotent singularity A1 Algaba Durán, Antonio A1 García García, Cristóbal A1 Giné, Jaume AB In this work it is solved the analytic integrability problem around a nilpotent singularity of a differential system in the plane under generic conditions. PB Cornell University YR 2018 FD 2018-05 LK https://hdl.handle.net/10272/25371 UL https://hdl.handle.net/10272/25371 LA eng NO Algaba, A., García, C., & Gine, J. (2018). Analytic integrability around a nilpotent singularity (Version 1). arXiv. https://doi.org/10.48550/ARXIV.1805.01726 NO The first and second authors are partially supported by a MINECO/FEDER grant number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The third author is partially supported by a MINECO/FEDER grant number MTM2017-84383-P and by an AGAUR (Generalitat de Catalunya) grant number 2017SGR 1276. DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026