On branched coverings of projective manifolds
type: Item
instance of: scholarly article
title: On branched coverings of projective manifolds
zbMATH Open document ID: 0614.14005
author: Makoto Namba
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
review text: This paper consists of an announcement of a criterion for a divisor in a complex manifold to be the branch locus of a Galois covering. The criterion is a condition on the set of all isomorphism classes of unitary flat vector bundles with prescribed singularities. It is a difficult condition to implement, but leads to a more amenable criterion in the case where M is projective and the divisor consists of irreducible hypersurfaces with certain intersection properties, a result which generalizes a theorem of \textit{M. Kato} [Mem. Fac. Sci., Kyushu Univ., Ser. A 38, 127-131 (1984; Zbl 0556.32007)].
Mathematics Subject Classification ID: 14E22
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 14L30
zbMATH DE Number: 3993746
zbMATH Keywords: divisor
zbMATH Keywords: branch locus of a Galois covering
reviewed by: Nigel Hitchin
MaRDI profile type: Publication
full work available at URL: pjaa.61.121
OpenAlex ID: W2040564921
cites work: ON THE EXISTENCE OF FINITE PRINCIPAL UNIFORMIZATIONS OF CP2 ALONG WEIGHTED LINE CONFIGURATIONS
cites work: Q3996764
cites work: Q5771397
cites work: Généralisation des fonctions abéliennes
DOI: 10.3792/PJAA.61.121
description: scientific article; zbMATH DE number 3993746