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The p-Rank of Ramified Covers of Curves

Published online by Cambridge University Press:  04 December 2007

Irene I. Bouw
Irene I. Bouw
Affiliation:
Department of Mathematics, 209 South 33rd Street, Philadelphia, PA 19104, U.S.A. E-mail: bouw@math.upenn.edu
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Abstract

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In this paper we study the p-rank of Abelian prime-to-p covers of the generic r-pointed curve of genus g. There is an obvious bound on the p-rank of the cover. We show that it suffices to compute the p-rank of cyclic prime-to-p covers of the generic r-pointed curve of genus zero. In that situation, we show that, for large p, the p-rank of the cover is equal to the bound.

Keywords

coversp-rank
Type
Research Article
Information
Compositio Mathematica , Volume 126 , Issue 3 , May 2001 , pp. 295 - 322
Copyright
© 2001 Kluwer Academic Publishers