arXiv Open Access 2023

Structural stability of the Jouanolou foliation of degree 2

Aurélien Alvarez Bertrand Deroin

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.DS

Penulis (2)

Aurélien Alvarez

Bertrand Deroin

Format Sitasi

APA MLA BibTeX

Alvarez, A., Deroin, B. (2023). Structural stability of the Jouanolou foliation of degree 2. https://arxiv.org/abs/2303.09313

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓