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Other literature type . 1994
Data sources: Project Euclid
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zbMATH Open
Article . 1994
Data sources: zbMATH Open
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The reduction of a double covering of a Mumford curve

Authors: Van Steen, G.;

The reduction of a double covering of a Mumford curve

Abstract

A Mumford curve \(Y\) (over a nonarchimedean field \(k)\) has an admissible covering \({\mathcal U}\) by affinoid subsets of \(\mathbb{P}^1(k)\). Given a morphism \(\varphi : X \to Y\) of degree 2 of nonsingular projective curves over \(k\), the author describes the reduction of \(X\) with respect to \(\varphi^{-1} ({\mathcal U})\); he also lists all possibilities if \(Y\) has genus 2 and \(\varphi\) is unramified. The reviewer found no less then 28 misprints on these 7 pages!

Keywords

14H30, 14G20, Local ground fields in algebraic geometry, Coverings of curves, fundamental group, 14H25, Mumford curve, reduction of nonsingular curve, double covering

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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