Vanishing cycles in holomorphic foliations by curves and foliated shells

DOI10.1007/s00039-010-0105-4zbMath1225.37054arXiv0812.2114OpenAlexW2023011010MaRDI QIDQ633232

Sergey M. Ivashkovich

Publication date: 31 March 2011

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2114

zbMATH Keywords

vanishing cycleholomorphic foliationssimultaneous uniformization

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Removable singularities in several complex variables (32D20) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (1)

Topology and dynamics of laminations in surfaces of general type

Cites Work

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• The generative capacity of block-synchronized context-free grammars
• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• The combinatorial topology of analytic functions on the boundary of a disk
• An intrinsic characterization of Kähler manifolds
• Spherical shells as obstacles to continuations of holomorphic mappings
• On entire curves tangent to foliation
• A cutting and pasting of noncompact polygons with applications to Fuchsian groups
• Compact complex surfaces containing global strongly pseudoconvex hypersurfaces
• Prolongement des courants, positifs, fermes de masse finie
• Extension of meromorphic maps into Kähler manifolds
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Every Stein subvariety admits a Stein neighborhood
• Symplectic four-manifolds and projective surfaces
• Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
• Subharmonic variation of the leafwise Poincaré metric
• Global stability for holomorphic foliations on Kähler manifolds
• Vector fields and foliations on compact surfaces of class \(\text{VII}_0\)
• Extension properties of meromorphic mappings with values in non-Kähler complex manifolds
• Examples on an extension problem of holomorphic maps and a holomorphic 1- dimensional foliation
• Compact groups of differentiable transformations
• On nonimbeddability of Hartogs figures into complex manifolds
• Deformations of non-compact complex curves and envelopes of meromorphy of spheres
• An Example Concerning Extension and Separate Analyticity Properties of Meromorphic Mappings
• A cut-off theorem for plurisubharmonic currents
• PLURISUBHARMONIC VARIATION OF THE LEAFWISE POINCARÉ METRIC
• The Picard Theorem for Riemann Surfaces
• Uniformisation of foliations by curves
• On complex parallelisable manifolds and their small deformations
• FIBERINGS INTO ANALYTIC CURVES
• CYCLE BREAKING IN FIBERINGS ON ANALYTIC CURVES
• Dynamics in One Complex Variable. (AM-160)
• On the Behavior of an Analytic Function about an Isolated Boundary Point
• Geometry and spectra of compact Riemann surfaces
• Compact singularities of meromorphic mappings between complex 3-dimensional manifolds

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