Moduli spaces of holomorphic mappings into hyperbolically imbedding complex spaces and locally symmetric spaces

DOI10.1007/BF01393686zbMath0651.32012MaRDI QIDQ1106365

Junjiro Noguchi

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/143588

zbMATH Keywords

hyperbolic manifoldfiniteness theoremrigidity theoremproper holomorphic immersionextension of holomorphic mappingsconvergence of holomorphic mappingshyperbolically imbedded

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Complex-analytic moduli problems (32G13) Complex Lie groups, group actions on complex spaces (32M05) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (12)

Generalized big Picard theorem for pseudo-holomorphic maps ⋮ The Mordell property of hyperbolic fiber spaces with noncompact fibers ⋮ Holomorphic and harmonic maps between complete almost Kähler manifolds ⋮ Kobayashi hyperbolic imbeddings into toric varieties ⋮ Extension and convergence theorems for families of normal maps in several complex variables ⋮ Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type ⋮ Value distribution of meromorphic mappings into compactified locally symmetric spaces ⋮ Classification of non-rigid families of abelian varieties ⋮ The convergence-extension theorem of Noguchi in infinite dimensions ⋮ Hyperbolic embeddedness and extension-convergence theorems of \(J\)-holomorphic curves ⋮ Extension and convergence theorems of pseudoholomorphic maps ⋮ The moduli space of hyperbolically imbedded manifolds

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