Explicit supersingular cyclic curves

Fuente: arXiv
Saved in:
Bibliographic Details
Main Author: Streng, Marco
Format: Preprint
Published: 2025
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866908371698843648
author Streng, Marco
author_facet Streng, Marco
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14902
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Explicit supersingular cyclic curves
Streng, Marco
Number Theory
Algebraic Geometry
Primary 14G10, 11G20, 11M38, 14H10, 14K22, Secondary: 11G18, 14G10, 14G15, 14H30, 14H40
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.
title Explicit supersingular cyclic curves
topic Number Theory
Algebraic Geometry
Primary 14G10, 11G20, 11M38, 14H10, 14K22, Secondary: 11G18, 14G10, 14G15, 14H30, 14H40
url https://arxiv.org/abs/2501.14902