On real-analytic Levi-flat hypersurfaces and holomorphic webs

DOI10.1016/j.exmath.2023.06.002arXiv2112.01659OpenAlexW4380742155MaRDI QIDQ6149191

Arturo Fernández-Pérez, Ayane Adelina da Silva

Publication date: 5 February 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01659

zbMATH Keywords

holomorphic foliationsholomorphic websreal-analytic Levi-flat hypersurfaces

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

• On Levi-flat hypersurfaces with generic real singular set
• On Levi-flat hypersurfaces tangent to holomorphic webs
• Algebraic Levi-flat hypervarieties in complex projective space
• Invariant varieties through singularities of holomorphic vector fields
• Variations on a theorem of Abel
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• Some remarks on indices of holomorphic vector fields
• Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations
• Germs of singular Levi-flat hypersurfaces and holomorphic foliations
• Global study of webs on a holomorphic surface
• Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
• Web geometry
• Singular Levi-Flat Real Analytic Hypersurfaces
• Indices of Holomorphic Vector Fields Relative to Invariant Curves on Surfaces
• Birational Geometry of Foliations
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