Complete subvarieties of moduli spaces and the Prym map
| dc.creator | Faber, Carel | |
| dc.creator | van der Geer, Gerard | |
| dc.date | 2003-05-23 | |
| dc.date | 2004-03-22 | |
| dc.date.accessioned | 2026-07-07T04:58:13Z | |
| dc.date.available | 2026-07-07T04:58:13Z | |
| dc.description | 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. | |
| dc.description | 20 pages, 1 figure. Final version, to appear in J. Reine Angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/0305334 | |
| dc.identifier | http://arxiv.org/abs/math/0305334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67549 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10; 14H40; 14Kxx | |
| dc.title | Complete subvarieties of moduli spaces and the Prym map | |
| dc.type | text |