Structural stability of the Jouanolou foliation of degree 2

Structural stability of the Jouanolou foliation of degree 2

We show that the Jouanolou foliation of degree 2 on the complex projective plane is structurally stable. Moreover, its Fatou set is a fibration on the Klein quartic with the structure of a smooth fiber bundle in disks. In particular, there is no dense leaf.

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Veröffentlicht in:arXiv.org 2023-03
Hauptverfasser: Alvarez, Aurélien, Deroin, Bertrand
Format: Artikel
Sprache:eng
Schlagworte:
Disks
Structural stability
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Zusammenfassung:We show that the Jouanolou foliation of degree 2 on the complex projective plane is structurally stable. Moreover, its Fatou set is a fibration on the Klein quartic with the structure of a smooth fiber bundle in disks. In particular, there is no dense leaf.
ISSN:2331-8422