Pluricanonical maps of minimal 3-folds
type: Item
instance of: scholarly article
title: Pluricanonical maps of minimal 3-folds
zbMATH Open document ID: 0598.14032
author: Masaki Hanamura
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
review text: The author studies pluricanonical maps of smooth threefolds over the field of complex numbers under the condition that they have minimal models. He gives an outline of the proof of the following theorem: Let X be a minimal threefold of general type with \(index\quad r\) and let \(K_ X\) denote the canonical divisor. Then the n-ple pluricanonical map \(F_{| nK_ X|}\) is birational for \(n\geq n_ 0\) where \(n_ 0=9\) if \(r=1\); \(n_ 0=8\) if \(r=1\) and if X is Q-factorial; \(n_ 0=13\) if \(r=2\); \(n_ 0=4r+4\) if \(3\leq r\leq 5\); \(n_ 0=4r+3\) if \(r\geq 6\).
Mathematics Subject Classification ID: 14J30
Mathematics Subject Classification ID: 14E30
zbMATH DE Number: 3964031
zbMATH Keywords: pluricanonical maps of smooth threefolds
zbMATH Keywords: minimal models
MaRDI profile type: Publication
full work available at URL: pjaa.61.116
OpenAlex ID: W2042502975
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DOI: 10.3792/PJAA.61.116
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description: scientific article; zbMATH DE number 3964031