Explicit supersingular cyclic curves

2025/01/24 by Streng, Marco
#11G20 #11M38 #14G10 #14G15 #14H10 #14H30 #14H40 #14K22 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Primary 14G10 #Secondary: 11G18

paper · doi:10.48550/arxiv.2501.14902

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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