Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic
type: Item
instance of: scholarly article
title: Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic
zbMATH Open document ID: 1315.14021
author: Yuchen Zhang
published in: Journal of Algebra
publication date: 2014-08-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1203.1360
review text: Let \(X\) be a smooth projective variety over an algebraically closed field of positive characteristic. Recall that \(X\) is of general type if for some integer \(m>0\) the sections of \(mK_X\) define a birational map. If \(a:X\to A\) is the Albanese morphism, then \(X\) has maximal Albanese dimension if and only if \(\dim (a(X))=\dim X\). In this paper the author shows that if \(X\) is of general type and maximal Albanese dimension then \(|4K_X|\) induces a birational map.
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14G17
zbMATH DE Number: 6335787
zbMATH Keywords: pluri-canonical maps
zbMATH Keywords: maximal Albanese dimension
reviewed by: Christopher Hacon
MaRDI profile type: Publication
OpenAlex ID: W2963188124
arXiv ID: 1203.1360
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DOI: 10.1016/J.JALGEBRA.2014.03.019
description: scientific article; zbMATH DE number 6335787