Double coverings of Klein surfaces by a given Riemann surface
type: Item
instance of: scholarly article
title: Double coverings of Klein surfaces by a given Riemann surface
zbMATH Open document ID: 0997.30032
DOI: 10.1016/S0022-4049(01)00082-2
published in: Journal of Pure and Applied Algebra
publication date: 2002-06-24T00:00:00Z
review text: In this paper the authors investigate, for a given Riemann surface \(X\) of genus \(g\) the number of double covers \(X\to Y\) where \(Y\) is either a Riemann surface or a Klein surface. In both cases they study the maximum number of ramified covers, or, if there are none, the number of unramified ones. The results depend on the power of 2 dividing \(g-1\). The results can also be interpreted as giving estimates for the maximal number of real forms of a given complex curve. The methods rely on the reduction of the questions to problems in group theory, in particular, of groups whose order is a power of 2. Some of the results depend on an unproved statement about such groups (Conjecture 3.3).
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 14H99
zbMATH DE Number: 1758339
zbMATH Keywords: degree 2 coverings
zbMATH Keywords: real forms of algebraic curves
author: Emilio Bujalance
author: Marston D. E. Conder
author: Jose Manuel Gamboa
author: G. Gromadzki
author: Milagros Izquierdo
reviewed by: Samuel James Patterson
describes a project that uses: Magma
MaRDI profile type: Publication
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full work available at URL: s0022-4049(01)00082-2
OpenAlex ID: W2023748537
description: scientific article; zbMATH DE number 1758339