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arXiv · 2501.14902

Explicit supersingular cyclic curves

Marco Streng
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Abstract

Li, Mantovan, Pries, and Tang proved the existence of supersingular curves over Fpbar in each of the special families of curves in Moonen's classification. Their proof does not provide defining equations of these curves. We make some of their results explicit using the reductions modulo p of previously computed curves with complex multiplication.

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Marco Streng. 2025-01-24. Explicit supersingular cyclic curves. https://arxiv.org/abs/2501.14902

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