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# The Eichler trace of $\bbd Z_p$ actions on Riemann surfaces

Published:1998-06-01
Printed: Jun 1998
• Denis Sjerve
• Qing Jie Yang
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## Abstract

We study $\hbox{\Bbbvii Z}_p$ actions on compact connected Riemann surfaces via their associated Eichler traces. We determine the set of possible Eichler traces and determine the relationship between 2 actions if they have the same trace.
 MSC Classifications: 30F30 - Differentials on Riemann surfaces 57M60 - Group actions in low dimensions