A remark on first integrals of vector fields
Belotto da Silva, André (Université de Paris, Institut de Mathématiques de Jussieu Paris Rive Gauche)
Klimeš, Martin (University of Zagreb. Faculty of Electrical Engineering and Computing)
Rebelo, Julio (Institut de Mathématiques de Toulouse)
Reis, Helena (Universidade do Porto. Centro de Matemática)

Date:	2024
Abstract:	We provide examples of vector fields on (C3 , 0) admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and Mattei-Moussu.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Holomorphic vector field ; First integral ; Formal power series ; Stokes phenomena
Published in:	Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 103-109 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/422917
DOI: 10.5565/PUBLMAT6812405

7 p, 289.7 KB

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