A finiteness criterion for compact varieties of surjective holomorphic mappings

DOI10.2996/kmj/1138039281zbMath0717.32016OpenAlexW1964601913MaRDI QIDQ754018

Camilla Horst

Publication date: 1990

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039281

zbMATH Keywords

compact complex spacecompact hyperbolic Kähler manifoldsurjective holomorphic mappings

Mathematics Subject Classification ID

Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (1)

Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps

Cites Work

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• Compact varieties of surjective holomorphic endomorphisms
• Hyperbolic fibre spaces and Mordell's conjecture over function fields
• Compact varieties of surjective holomorphic mappings
• Holomorphic mappings onto a certain compact complex analytic space
• Meromorphic mappings onto compact complex spaces of general type
• On automorphism groups of compact Kähler manifolds
• Bimeromorphic smoothing of a complex-analytic space
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Higher dimensional diophantine problems
• On 𝑛-dimensional compact complex varieties with 𝑛 algebraically independent meromorphic functions
• Threefolds whose canonical bundles are not numerically effective

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