Analytic integrability around a nilpotent singularity: The non-generic case
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Issue date
2020Suggested citation
Algaba, Antonio;
Díaz, María;
García, Cristóbal;
Giné, Jaume;
.
(2020)
.
Analytic integrability around a nilpotent singularity: The non-generic case.
Communications on Pure and Applied Analysis, 2020, vol. 19, núm. 1, p. 407-423.
https://doi.org/10.3934/cpaa.2020021.
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Abstract
Recently, in [9] is characterized the analytic integrability problem
around a nilpotent singularity for differential systems in the plane under generic
conditions. In this work we solve the remaining case completing the analytic
integrability problem for such singularity.