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A Characterization of Mumford Curves with Good Reduction

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arxiv 1306.0163 v1 pith:NVD62UEZ submitted 2013-06-02 math.AG

A Characterization of Mumford Curves with Good Reduction

classification math.AG
keywords characterizationcurvesgoodmumfordreductiontypeabeliancase
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Mumford defines a certain type of Shimura curves of Hodge type, parameterizing polarized complex abelian fourfolds. In this paper, we study the good reduction of such a curve in positive characteristic and give a characterization in the generically ordinary case.

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