Generic pseudogroups on and the topology of leaves

DOI10.1112/S0010437X13007161zbMath1314.32033arXiv1111.2364MaRDI QIDQ2852246

Julio C. Rebelo, Jean-François Mattei, Helena Reis

Publication date: 8 October 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2364

zbMATH Keywords

holomorphic foliationsgerms of holomorphic diffeomorphismssingularities of holomorphic foliations

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

Discrete orbits, recurrence and solvable subgroups of Diff \((\mathbb {C}^2, 0)\) ⋮ Surface groups in the group of germs of analytic diffeomorphisms in one variable

Cites Work

• Intertwined mappings
• A singular Frobenius theorem via elementary arithmetic
• The analytic and formal normal form for the nilpotent singularity
• On real analytic foliations and the center problem
• A preparation theorem for codimension-one foliations
• Incompressibilité des feuilles de germes de feuilletages holomorphes singuliers
• Majoration de sommes exponentielles attachées aux hypersurfaces diagonales
• Holonomie et intégrales premières
• Rigidité générique des feuilletages singuliers

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