Complete subvarieties of moduli spaces and the Prym map

Carel Faber, Gerard van der Geer

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We prove that in characteristic p>0 the locus of stable curves of p-rank at most f is pure of codimension g-f in the moduli space of stable curves. Then we consider the Prym map and analyze it using tautological classes. We study the locus of curves with an etale double cover of p-rank 0 in some detail. In particular, in genus 2 we obtain a formula for the number of such curves. We end with several examples illustrating our formula.
Original languageEnglish
JournalJournal fur die Reine und Angewandte Mathematik
Publication statusPublished - 2004

Keywords

  • Algebraic Geometry
  • 14H10
  • 14H40
  • 14Kxx

Fingerprint

Dive into the research topics of 'Complete subvarieties of moduli spaces and the Prym map'. Together they form a unique fingerprint.

Cite this