We consider which integers g and r can occur respectively as the genus and p-rank of a curve defined over a field of odd characteristics p which admits an automorphism of degree p.
This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
Glass, Darren B. "Non-Genera of Curves With Automorphisms in Characteristic P.” Computational Algebraic and Analytic Geometry, Contemporary Mathematics Vol. 572. Providence, RI: Amer. Math. Soc., 2012. 89-95.
Required Publisher's Statement
Original version is available from the publisher at: http://www.ams.org/books/conm/