Two theorems on extensions of holomorphic mappings

DOI10.1007/BF01418742zbMath0223.32016MaRDI QIDQ2548001

Phillip A. Griffiths

Publication date: 1971

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

Full work available at URL: https://eudml.org/doc/142104

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Plurisubharmonic functions and generalizations (32U05)

Related Items (30)

Oka's inequality for currents and applications ⋮ Extension of holomorphic maps ⋮ Extension theorems for reductive group actions on compact Kaehler manifolds ⋮ Schwarz lemma and Hartogs phenomenon in complex Finsler manifold ⋮ Holomorphic extensions of maps from the boundary of Kähler manifolds ⋮ Geometry of Reinhardt domains of finite type in \(\mathbb{C}^2\) ⋮ Extension of positive holomorphic line bundles ⋮ Extension theorems for reductive group actions on compact Kaehler manifolds ⋮ Mappings into hyperbolic spaces ⋮ Some Remarks on the Intrinsic Measures of Eisenman ⋮ On Kähler structures over symmetric products of a Riemann surface ⋮ Intrinsic distances, measures and geometric function theory ⋮ Meromorphic extension spaces ⋮ Spherical shells as obstructions for the extension of holomorphic mappings ⋮ Structure of foliation singularities ⋮ Extension theorems for reductive group actions on compact Kähler manifolds ⋮ On interpolation for Hörmander's algebras ⋮ Pseudoconvexite au-dessus d'espaces plus ou moins homogenes ⋮ Pseudoconvexity and the problem of Levi ⋮ Prolongement d'applications holomorphes ⋮ Holomorphic and meromorphic mappings and curvature ⋮ Holomorphic and meromorphic mappings and curvature. II ⋮ Compact complex manifolds containing “global” spherical shells ⋮ Extension of positive line bundles and meromorphic maps ⋮ Plurisubharmonic Functions Outside Compact Sets ⋮ RC-POSITIVITY, VANISHING THEOREMS AND RIGIDITY OF HOLOMORPHIC MAPS ⋮ Quelques problèmes de prolongement de courants en analyse complexe ⋮ Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps ⋮ The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds ⋮ Three structure theorems in several complex variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volumes, limits, and extensions of analytic varieties
• Compactification of arithmetic quotients of bounded symmetric domains
• Remarks on the first main theorem in equidistribution theory. I
• Introduction to the theory of analytic spaces
• Generalization of the big Picard theorem
• Holomorphic mapping into canonical algebraic varieties
• The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
• Normal families of holomorphic mappings
• Holomorphic mappings of complex manifolds

This page was built for publication: Two theorems on extensions of holomorphic mappings