I give a sufficient condition for the action of a group on an algebraic curve defined over (Q) over bar 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.
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 (Q) over bar 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.
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