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On Fatou and Julia sets of foliations

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Publication:826466
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DOI10.2969/jmsj/81338133zbMath1457.37065arXiv1809.06767OpenAlexW3011813561WikidataQ122661088 ScholiaQ122661088MaRDI QIDQ826466

Taro Asuke

Publication date: 4 January 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06767


zbMATH Keywords

Julia setinvariant metricFatou setholomorphic foliation


Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Dynamical aspects of holomorphic foliations and vector fields (37F75)




Cites Work

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  • On Fatou-Julia decompositions
  • Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes)
  • A Fatou-Julia decomposition of transversally holomorphic foliations
  • Foliations in \(\mathbb{C} P(n)\): About hyperbolic holonomy for minimal exceptional sets
  • Holonomy groupoids of singular foliations.
  • Minimal sets of foliations on complex projective spaces
  • The holonomy groupoid of a singular foliation
  • Flots transversalement affines et tissus feuilletés


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