Compact varieties of surjective holomorphic mappings
type: Item
instance of: scholarly article
title: Compact varieties of surjective holomorphic mappings
zbMATH Open document ID: 0612.32020
DOI: 10.1007/BF01163660
author: Camilla Horst
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173880
review text: Let X,Y be compact complex varieties. An Aut-orbit in Hol(X,Y) is a subvariety of the form \(g\cdot Aut_ 0(Y')\circ f\) with \(f: X\to Y'\), g: Y'\(\to Y\) holomorphic. Theorem. Let X,Y be normal compact varieties. If Y satisfies one of the following conditions, then every compact subvariety of \(Sur(X,Y)=\{f\in Hol(X,Y): f\) surjective\(\}\) is contained in some Aut-orbit: (i) Y has non-negative Kodaira dimension. (ii) Y is Moišezon with numerically almost effective canonical sheaf.
Mathematics Subject Classification ID: 32H99
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 32M10
Mathematics Subject Classification ID: 32C20
zbMATH DE Number: 3989778
zbMATH Keywords: compact complex varieties
zbMATH Keywords: Kodaira dimension
zbMATH Keywords: Moišezon space
zbMATH Keywords: universal family
zbMATH Keywords: complex parallelizable
zbMATH Keywords: surjective holomorphic mapping
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3989778