The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds

DOI10.1007/BF01232018zbMath0738.32008MaRDI QIDQ811576

Sergey M. Ivashkovich

Publication date: 1992

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

Full work available at URL: https://eudml.org/doc/144012

zbMATH Keywords

Stein manifoldcompact Kähler manifoldcovering manifoldsexistence of Stein neighborhoodsextension of meromorphic mapslimits of sequences of analytic disks

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Continuation of analytic objects in several complex variables (32D15) Stein spaces (32E10)

Related Items

Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy, Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles, On the displacement rigidity of Levi flat hypersurfaces -- the case of boundaries of disc bundles over compact Riemann surfaces, On the Levi-flats in complex tori of dimension two, Banach analytic sets and a non-linear version of the Levi extension theorem, On holomorphic maps into compact non-Kähler manifolds., On the Hartogs–Bochner phenomenon for CR functions in $P_2(\mathbb {C})$, \(\bar{\partial}\)-problem in fiber bundles for decreasing \((0,1)\)-forms, Holomorphic extensions in complex fiber bundles, Schottky groups acting on homogeneous rational manifolds, PLURISUBHARMONIC VARIATION OF THE LEAFWISE POINCARÉ METRIC, Rigidity of mappings between degenerate and indefinite hyperbolic spaces, A moduli space of non-compact curves on a complex surface, On nonimbeddability of Hartogs figures into complex manifolds

Cites Work

• Holomorphe und meromorphe Abbildungen komplexer Räume
• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• Quelques problèmes de prolongement de courants en analyse complexe
• Pseudo holomorphic curves in symplectic manifolds
• The existence of minimal immersions of 2-spheres
• Extension of meromorphic maps into Kähler manifolds
• A remark on the universal cover of a Moishezon space
• Every Stein subvariety admits a Stein neighborhood
• Volumes, limits, and extensions of analytic varieties
• Two theorems on extensions of holomorphic mappings
• Characterization of Bounded Domains Covering Zariski Dense Subsets of Compact Complex Spaces
• THE HARTOGS PHENOMENON FOR HOLOMORPHICALLY CONVEX KÄHLER MANIFOLDS
• Les deux types de méromorphie différent.
• Extension of holomorphic maps into hermitian manifolds