Construction of covers in positive characteristic via degeneration
classification
🧮 math.AG
keywords
coverscharacteristicconstructpositivebranchconstructioncurvedegeneration
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In this note we construct examples of covers of the projective line in positive characteristic such that every specialization is inseparable. The result illustrates that it is not possible to construct all covers of the generic r-pointed curve of genus zero inductively from covers with a smaller number of branch points.
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