I give a sufficient condition for the action of a group on an algebraic curve defined over the algebraic closure of Q in order that a good reduction of the curve to positive characteristic be a supersingular curve. I apply such criterion to abelian coverings of P1 ramified over three points.
Supersingularity from group actions
RE, Riccardo
2008-01-01
Abstract
I give a sufficient condition for the action of a group on an algebraic curve defined over the algebraic closure of Q in order that a good reduction of the curve to positive characteristic be a supersingular curve. I apply such criterion to abelian coverings of P1 ramified over three points.File in questo prodotto:
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