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arXiv · 2303.09313

Structural stability of the Jouanolou foliation of degree 2

Aurélien Alvarez·Bertrand Deroin
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Abstract

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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Aurélien Alvarez, Bertrand Deroin. 2023-03-16. Structural stability of the Jouanolou foliation of degree 2. https://arxiv.org/abs/2303.09313

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