The rationality of the moduli space of genus four curves endowed with an order three subgroup of their Jacobian
| dc.creator | Bauer, Ingrid | |
| dc.creator | Verra, Alessandro | |
| dc.date | 2008-08-08 | |
| dc.date | 2009-05-16 | |
| dc.date.accessioned | 2026-07-07T13:15:09Z | |
| dc.date.available | 2026-07-07T13:15:09Z | |
| dc.description | Refereed version to appear in Michigan Mathematical Journal. A mistake in the last section of the previous version has been corrected. The new title exactly describes the main result obtained. Building on the geometry of cubic surfaces and on a theorem of Dolgachev, the rationality of the moduli space R mentioned in the title is proved. Let M be the moduli space of 6 points in the plane, modulo the natural involution induced by double-six configurations on cubic surfaces. It is proved that R is birational to a tower of locally trivial projective bundles ending onto M. The rationality of R then follows from Dolgachev's theorem that M is rational. | |
| dc.description | 19 pages. Section 2 replaced by the final one. Further restyling. Same contents | |
| dc.identifier | https://arxiv.org/abs/0808.1318 | |
| dc.identifier | http://arxiv.org/abs/0808.1318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230396 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H45, 14H10 | |
| dc.title | The rationality of the moduli space of genus four curves endowed with an order three subgroup of their Jacobian | |
| dc.type | text |