A note on hyperelliptic curves with ordinary reduction over 2-adic fields

Journal of Number Theory(2023)

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摘要
We study a class of semistable ordinary hyperelliptic curves over 2-adic fields and the special fibre of their minimal regular model. We show that these curves can be controlled using ‘cluster pictures’, similarly to the case of odd residue characteristic.
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关键词
11G20,14D10,14H25,14H45
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