Dicritical singularities and laminar currents on Levi-flat hypersurfaces
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Publication:3130363
DOI10.1070/IM8582zbMath1383.37034arXiv1606.02140OpenAlexW3098466078MaRDI QIDQ3130363
Rasul Shafikov, Sergey I. Pinchuk, Alexandre B. Sukhov
Publication date: 22 January 2018
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.02140
Analysis on CR manifolds (32V20) Dynamical aspects of holomorphic foliations and vector fields (37F75) Currents (32U40)
Related Items (6)
Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Segre-degenerate points form a semianalytic set ⋮ Chow's theorem for real analytic Levi-flat hypersurfaces ⋮ Levi-flat world: a survey of local theory ⋮ Julia sets for polynomial diffeomorphisms of \(\mathbb{C}^2\) are not semianalytic ⋮ On local hulls of Levi-flat hypersurfaces
Cites Work
- On Levi-flat hypersurfaces with generic real singular set
- Riemann surface laminations with singularities
- Courants positifs extremaux et conjecture de Hodge
- Some remarks on meromorphic first integrals
- Singular set of a Levi-flat hypersurface is Levi-flat
- Germs of singular Levi-flat hypersurfaces and holomorphic foliations
- Introduction to the theory of analytic spaces
- Local Levi-flat hypersurfaces invariants by a codimension one holomorphic foliation
- Geometric Properties of Maximal psh Functions
- The geometric reflection principle in several complex variables: a survey
- Singular Levi-Flat Real Analytic Hypersurfaces
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