K3 double structures on Enriques surfaces and their smoothings
| dc.creator | Gallego, Francisco Javier | |
| dc.creator | Gonzalez, Miguel | |
| dc.creator | Purnaprajna, Bangere P. | |
| dc.date | 2006-04-28 | |
| dc.date | 2006-08-27 | |
| dc.date.accessioned | 2026-07-07T07:11:22Z | |
| dc.date.available | 2026-07-07T07:11:22Z | |
| dc.description | Let $Y$ be a smooth Enriques surface. A $K3$ carpet on $Y$ is a locally Cohen-Macaulay double structure on $Y$ with the same invariants as a smooth $K3$ surface (i.e., regular and with trivial canonical sheaf). The surface $Y$ possesses an étale $K3$ double cover $X \oversetπ \longrightarrow Y$. We prove that $π$ can be deformed to a family $\SX \longrightarrow \mathbf P^N_{T^*}$ of projective embeddings of $K3$ surfaces and that any projective $K3$ carpet on $Y$ arises from such a family as the flat limit of smooth, embedded $K3$ surfaces. | |
| dc.description | New title (old title:"Smoothing of $K3$ carpets on Enriques surfaces"). Improved Section 1. Simplified step 2 of proof of theorem 3.2 | |
| dc.identifier | https://arxiv.org/abs/math/0604629 | |
| dc.identifier | http://arxiv.org/abs/math/0604629 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111728 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J28, 14J10, 14B10, 13D10 | |
| dc.title | K3 double structures on Enriques surfaces and their smoothings | |
| dc.type | text |