Riemann surface laminations with singularities
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Publication:941854
DOI10.1007/s12220-008-9018-yzbMath1159.32020arXiv0803.0703OpenAlexW2090254479MaRDI QIDQ941854
Nessim Sibony, John-Erik Fornaess
Publication date: 2 September 2008
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.0703
Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Harmonic functions on Riemann surfaces (30F15) Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Currents (32U40)
Related Items (32)
Oseledec multiplicative ergodic theorem for laminations ⋮ Two remarks on the Poincaré metric on a singular Riemann surface foliation ⋮ Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2 ⋮ Levi problem in complex manifolds ⋮ Compact invariant sets for global holomorphic foliations ⋮ Patterson-Sullivan-type measures on Riccati foliations with quasi-Fuchsian holonomy ⋮ The second main theorem in the hyperbolic case ⋮ Uniqueness of birational structures on Inoue surfaces ⋮ Geometric characterization of Lyapunov exponents for Riemann surface laminations ⋮ Topology and complex structures of leaves of foliations by Riemann surfaces ⋮ Poincaré metric of holomorphic foliations with non-degenerate singularities ⋮ Directed harmonic currents near non-hyperbolic linearizable singularities ⋮ Leafwise Brownian motions and some function theoretic properties of laminations ⋮ A few remarks on the Poincaré metric on a singular holomorphic foliation ⋮ Self-intersection of foliation cycles on complex manifolds ⋮ Singular holomorphic foliations by curves. III: Zero Lelong numbers ⋮ Heat diffusions on holomorphic foliations with non-degenerate singularities ⋮ Regularity of the leafwise Poincaré metric on singular holomorphic foliations ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Ergodicity of laminations with singularities in Kähler surfaces ⋮ Examples of minimal laminations and associated currents ⋮ Heat equation and ergodic theorems for Riemann surface laminations ⋮ Uniformizing complex ODEs and applications ⋮ Algebraic independence for values of integral curves ⋮ Some open problems on holomorphic foliation theory ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Polynomially convex hulls of singular real manifolds ⋮ Pseudoconvex domains with smooth boundary in projective spaces ⋮ Directed harmonic currents near hyperbolic singularities ⋮ Unique ergodicity for foliations on compact Kähler surfaces ⋮ Dicritical singularities and laminar currents on Levi-flat hypersurfaces ⋮ A local expression of the Diederich-Fornaess exponent and the exponent of conformal harmonic measures
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