Hyperelliptic surfaces of general type with \(K^ 2<4\chi\)
type: Item
instance of: scholarly article
title: Hyperelliptic surfaces of general type with \(K^ 2<4\chi\)
zbMATH Open document ID: 0615.14022
DOI: 10.1007/BF02218078
author: Gang Xiao
published in: Manuscripta Mathematica
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155189
review text: The author is concerned with hyperelliptic surfaces S of general type with \(K^ 2<4\chi -28\); then the image of the Albanese map of S is a curve. As a corollary, an extension of a theorem of Horikawa on the existence of hyperelliptic pencils is obtained.
Mathematics Subject Classification ID: 14J25
Mathematics Subject Classification ID: 14C20
zbMATH DE Number: 3995870
zbMATH Keywords: canonical divisor
zbMATH Keywords: hyperelliptic surfaces
zbMATH Keywords: Albanese map
reviewed by: Giuseppe Tomassini
MaRDI profile type: Publication
cites work: Curves with high self-intersection on algebraic surfaces
cites work: Q4740676
cites work: Q3936840
cites work: Double coverings and surfaces of general type
description: scientific article; zbMATH DE number 3995870