On the rationality of moduli spaces of pointed curves
| dc.creator | Casnati, Gianfranco | |
| dc.creator | Fontanari, Claudio | |
| dc.date | 2005-04-12 | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T07:41:16Z | |
| dc.date.available | 2026-07-07T07:41:16Z | |
| dc.description | Motivated by several recent results on the geometry of the moduli spaces $\bar{\Cal M}_{g,n}$ of stable curves of genus $g$ with $n$ marked points, here we determine their birational structure for small values of $g$ and $n$ by exploiting suitable plane models of the general curve. More precisely, we show that ${\Cal M}_{g,n}$ is rational for $g=2$ and $1\le n\le 12$, $g=3$ and $1\le n\le 14$, $g=4$ and $1\le n\le 15$, $g=5$ and $1\le n\le 12$. | |
| dc.description | Final version accepted for publication on the Journal of the London Mathematical Society (Section 6 of the previous version has been removed since the proof of Claim 6.3 contained a gap) | |
| dc.identifier | https://arxiv.org/abs/math/0504249 | |
| dc.identifier | http://arxiv.org/abs/math/0504249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122041 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10, 14H45 (primary) 14E08, 14L30 (secondary) | |
| dc.title | On the rationality of moduli spaces of pointed curves | |
| dc.type | text |