Deformations of multiple fibres
type: Item
instance of: scholarly article
title: Deformations of multiple fibres
zbMATH Open document ID: 0759.32014
DOI: 10.1007/BF02571419
author: Fernando Serrano
published in: Mathematische Zeitschrift
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/174432
review text: Let \(R\) be a smooth complex projective variety, and let \(\varphi\) be a morphism defined on \(R\) onto a smooth curve. The aim of this paper is to show that the set of multiplicities of multiple fibres of \(\varphi\) is invariant under small deformation of the map.
Mathematics Subject Classification ID: 32G99
Mathematics Subject Classification ID: 32L99
Mathematics Subject Classification ID: 14D15
zbMATH DE Number: 126399
zbMATH Keywords: fibration
zbMATH Keywords: smooth complex projective variety
zbMATH Keywords: morphism
zbMATH Keywords: small deformation
MaRDI profile type: Publication
cites work: Q5749404
cites work: Q5785705
cites work: On Kähler fiber spaces over curves
cites work: On deformations of holomorphic maps. II
cites work: On deformations of holomorphic maps. III
cites work: Deformations of compact complex surfaces. II
cites work: Multiple fibres of a morphism
OpenAlex ID: W1984285435
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description: scientific article; zbMATH DE number 126399