✦ LIBER ✦

Supersingularity from group actions

✍ Scribed by Riccardo Re

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 125 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200510626

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✦ Synopsis

Abstract

I give a sufficient condition for the action of a group on an algebraic curve defined over in order that a good reduction of the curve to positive characteristic be a supersingular curve. I apply such criterion to abelian coverings of ℙ^1^ ramified over three points. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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