Ramification divisors for branched coverings of \({\mathbb{P}}^ n\)
type: Item
instance of: scholarly article
title: Ramification divisors for branched coverings of \({\mathbb{P}}^ n\)
zbMATH Open document ID: 0692.14006
DOI: 10.1007/BF01444529
author: H. Maeda
published in: Mathematische Annalen
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164731
review text: Let X be a log-terminal projective variety of dimension n defined over an algebraically closed field of characteristic zero and \(f: X\to {\mathbb{P}}^ n\) a branched covering. Then it is proved that the ramification divisor R of f is an ample \({\mathbb{Q}}\)-Cartier divisor unless f is an isomorphism. This result generalizes theorem 1 of a paper by \textit{L. Ein} [Math. Ann. 261, 483-485 (1982; Zbl 0519.14005)].
Mathematics Subject Classification ID: 14E22
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 14N05
zbMATH DE Number: 4132321
zbMATH Keywords: log-terminal projective variety
zbMATH Keywords: branched covering
zbMATH Keywords: ramification divisor
reviewed by: Hironobu Maeda
MaRDI profile type: Publication
cites work: The ramification divisors for branched coverings of \(P_ k^ n\)
cites work: Q3808213
cites work: Notes on quasi-polarized varieties
cites work: Remarks on quasi-polarized varieties
cites work: Q3825176
cites work: Characterizations of complex projective spaces and hyperquadrics
OpenAlex ID: W1989024621
description: scientific article; zbMATH DE number 4132321