Artin-Schreier coverings of algebraic surfaces
type: Item
instance of: scholarly article
title: Artin-Schreier coverings of algebraic surfaces
zbMATH Open document ID: 0698.14005
author: Yoshifumi Takeda
published in: Journal of the Mathematical Society of Japan
publication date: 1989-01-01T00:00:00Z
review text: Let k be an algebraically closed field of characteristic \(p>0\) and let X be a nonsingular projective surface over k. An \textit{Artin-Schreier covering} is a finite morphism \(\pi: Y\to X\) from a normal surface Y onto X such that the field extension \(k(Y)/k(X)\) is an Artin-Schreier extension, i.e., \(k(Y)/k(X)\) is a Galois extension whose Galois group is isomorphic to \({\mathbb{Z}}/p{\mathbb{Z}}.\) A good class of Artin-Schreier coverings which is called \textit{of simple type} is defined and, in the case of simple type, some formulas are given to compute invariants of coverings. Moreover, smooth Artin-Schreier coverings of simple type with ample branch loci are determined.
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 14J20
Mathematics Subject Classification ID: 14G15
zbMATH DE Number: 4144115
zbMATH Keywords: positive characteristic
zbMATH Keywords: invariants of coverings
zbMATH Keywords: Artin-Schreier coverings of simple type
zbMATH Keywords: ample branch loci
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04130415
OpenAlex ID: W2150679266
DOI: 10.2969/JMSJ/04130415
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description: scientific article; zbMATH DE number 4144115