Image of analytic hypersurfaces. II
type: Item
instance of: scholarly article
title: Image of analytic hypersurfaces. II
zbMATH Open document ID: 0802.32018
DOI: 10.1007/BF01459525
published in: Mathematische Annalen
publication date: 1994-12-12T00:00:00Z
full work available at URL: https://eudml.org/doc/165154
review text: This paper establishes the following result: Let \(f: X\to Y\) be a surjective meromorphic map, where \(X\) and \(Y\) are Moishezon compact complex manifolds of the same dimension. Let \(L\) be a big ``metric nef'' line bundle on \(X\), and \(0\neq s\in H^ 0(X,L)\). Let \(V\) be the zero set of \(s\). Then \(W= f(V)\) is an analytic hypersurface of \(Y\). When \(X\) is projective, ``metric nef'' just means ``nef''; the actual notion is defined in terms of Hermitian metrics. But ``metric nef'' implies ``nef''. [For part I of this paper see the author, Indiana Univ. Math. J. 39, 477- 483 (1990; Zbl 0687.32013)].
reviewed by: Frédéric Campana
Mathematics Subject Classification ID: 32C25
Mathematics Subject Classification ID: 32H99
Mathematics Subject Classification ID: 32J25
zbMATH DE Number: 537339
zbMATH Keywords: analytic hypersurfaces
author: Shanyu Ji
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 537339