The reduction of a double covering of a Mumford curve (Q1344478)
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scientific article; zbMATH DE number 722049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The reduction of a double covering of a Mumford curve |
scientific article; zbMATH DE number 722049 |
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The reduction of a double covering of a Mumford curve (English)
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2 May 1996
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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!
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double covering
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reduction of nonsingular curve
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Mumford curve
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