Locally stable holomorphic maps and their application to a global moduli problem for some kinds of analytic subvarieties

DOI10.1007/BF02362648zbMath0933.32025MaRDI QIDQ1356307

O. Diekmann

Publication date: 12 November 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

analytic subvarietieslocally stable holomorphic mapslocally stable parametrizations

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Variation of Hodge structures (algebro-geometric aspects) (14D07) Deformations of submanifolds and subspaces (32G10)

Cites Work

• On locally trivial deformations
• Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• A theorem of completeness for analytic systems of surfaces with ordinary singularities
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• Stability of \(C^ \infty\) mappings. V: Transversality
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