Fibered algebraic surfaces with low slope
type: Item
instance of: scholarly article
title: Fibered algebraic surfaces with low slope
zbMATH Open document ID: 0596.14028
DOI: 10.1007/BF01450841
author: Gang Xiao
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164211
review text: One studies the properties of a complex surface of general type with a fibration \(f:\quad S\to C\) such that \(\omega^ 2_{S/C}<4\cdot \deg (f_*\omega_{S/C})\). For such a surface the image of the \(\pi_ 1\) of a fibre of f in \(\pi_ 1(S)\) is trivial, unless the fibres of f are hyperelliptic, and this image is \({\mathbb{Z}}_ 2\). One also shows a lower bound for \(\omega^ 2_{S/C}\), studies the stability of \(f_*\omega_{S/C}\), and gives several examples.
Mathematics Subject Classification ID: 14J25
Mathematics Subject Classification ID: 14E20
zbMATH DE Number: 3959635
zbMATH Keywords: fibered algebraic surfaces with low slope
zbMATH Keywords: image of fundamental groups
MaRDI profile type: Publication
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OpenAlex ID: W2161588875
description: scientific article; zbMATH DE number 3959635