Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-10T21:00:30.409Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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