Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2
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Publication:1637301
DOI10.1007/s00222-017-0772-yzbMath1484.32037arXiv1403.7688OpenAlexW2341974130MaRDI QIDQ1637301
Publication date: 7 June 2018
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.7688
Lyapunov exponentholomorphic foliationPoincaré metrichyperbolic singularityharmonic currentholonomy cocycle
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 (10)
Two remarks on the Poincaré metric on a singular Riemann surface foliation ⋮ Directed harmonic currents near non-hyperbolic linearizable singularities ⋮ A few remarks on the Poincaré metric on a singular holomorphic foliation ⋮ Singular holomorphic foliations by curves. III: Zero Lelong numbers ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Some open problems on holomorphic foliation theory ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Harmonic currents directed by foliations by Riemann surfaces ⋮ Unique ergodicity for foliations on compact Kähler surfaces ⋮ On the dynamics of Riccati foliations with nonparabolic monodromy representations
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