Involutions on surfaces with $p_g=q=1$
| dc.creator | Rito, Carlos | |
| dc.date | 2008-05-29 | |
| dc.date.accessioned | 2026-07-07T09:41:35Z | |
| dc.date.available | 2026-07-07T09:41:35Z | |
| dc.description | In this paper some numerical restrictions for surfaces with an involution are obtained. These formulas are used to study surfaces of general type $S$ with $p_g=q=1$ having an involution $i$ such that $S/i$ is a non-ruled surface and such that the bicanonical map of $S$ is not composed with $i.$ A complete list of possibilities is given and several new examples are constructed, as bidouble covers of surfaces. In particular the first example of a minimal surface of general type with $p_g=q=1$ and $K^2=7$ having birational bicanonical map is obtained. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0805.4513 | |
| dc.identifier | http://arxiv.org/abs/0805.4513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161879 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29 | |
| dc.title | Involutions on surfaces with $p_g=q=1$ | |
| dc.type | text |