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 language | English |
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Journal | Journal fur die Reine und Angewandte Mathematik |
Publication status | Published - 2004 |
Keywords
- Algebraic Geometry
- 14H10
- 14H40
- 14Kxx