The Mori cones of moduli spaces of pointed curves of small genus
| dc.creator | Farkas, Gavril | |
| dc.creator | Gibney, Angela | |
| dc.date | 2001-11-26 | |
| dc.date | 2001-11-28 | |
| dc.date.accessioned | 2026-07-07T04:44:47Z | |
| dc.date.available | 2026-07-07T04:44:47Z | |
| dc.description | We compute the Mori cone of curves of the moduli space \M_{g,n} of stable n-pointed curves of genus g in the case when g and n are relatively small. For instance, we show that for g<14 every curve in \M_g is numerically equivalent to an effective sum of 1-strata (loci of curves with 3g-4 nodes). We also prove that the nef cone of \M_{0,6} is composed of 11 natural subcones all contained in the convex hull of boundary classes. We apply this result to classify the fibrations of the moduli space of rational curves with n<7 marked points. | |
| dc.description | 16 pages, references added | |
| dc.identifier | https://arxiv.org/abs/math/0111268 | |
| dc.identifier | http://arxiv.org/abs/math/0111268 | |
| dc.identifier | Transactions AMS 355 (2003), 1183-1199. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62731 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10 | |
| dc.title | The Mori cones of moduli spaces of pointed curves of small genus | |
| dc.type | text |