Nous démontrons que le feuilletage de Jouanolou de degré 2 sur le plan projectif complexe est structurellement stable. De plus, son ensemble de Fatou est une fibration holomorphe sur la quartique de Klein ayant une structure de fibré lisse localement trivial en disques. En particulier, aucune feuille de $\mathcal{J}_{2}$ n’est dense dans $\mathbf{P}^{2}$.
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Online First:
Published online:
DOI: 10.1007/s10240-024-00153-x
Aurélien Alvarez 1; Bertrand Deroin 1
@article{PMIHES_2025__141__191_0,
author = {Aur\'elien Alvarez and Bertrand Deroin},
title = {Stabilit\'e structurelle du feuilletage de {Jouanolou} de degr\'e 2},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {191--247},
year = {2025},
publisher = {Springer International Publishing},
address = {Cham},
volume = {141},
doi = {10.1007/s10240-024-00153-x},
zbl = {08054050},
language = {fr},
url = {https://pmihes.centre-mersenne.org/articles/10.1007/s10240-024-00153-x/}
}
TY - JOUR AU - Aurélien Alvarez AU - Bertrand Deroin TI - Stabilité structurelle du feuilletage de Jouanolou de degré 2 JO - Publications Mathématiques de l'IHÉS PY - 2025 SP - 191 EP - 247 VL - 141 PB - Springer International Publishing PP - Cham UR - https://pmihes.centre-mersenne.org/articles/10.1007/s10240-024-00153-x/ DO - 10.1007/s10240-024-00153-x LA - fr ID - PMIHES_2025__141__191_0 ER -
%0 Journal Article %A Aurélien Alvarez %A Bertrand Deroin %T Stabilité structurelle du feuilletage de Jouanolou de degré 2 %J Publications Mathématiques de l'IHÉS %D 2025 %P 191-247 %V 141 %I Springer International Publishing %C Cham %U https://pmihes.centre-mersenne.org/articles/10.1007/s10240-024-00153-x/ %R 10.1007/s10240-024-00153-x %G fr %F PMIHES_2025__141__191_0
Aurélien Alvarez; Bertrand Deroin. Stabilité structurelle du feuilletage de Jouanolou de degré 2. Publications Mathématiques de l'IHÉS, Volume 141 (2025), pp. 191-247. doi: 10.1007/s10240-024-00153-x
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