On surfaces with $p_g=q=1$ and non-ruled bicanonical involution
| dc.creator | Rito, Carlos | |
| dc.date | 2005-10-14 | |
| dc.date | 2007-03-04 | |
| dc.date.accessioned | 2026-07-07T07:49:40Z | |
| dc.date.available | 2026-07-07T07:49:40Z | |
| dc.description | This paper classifies surfaces of general type $S$ with $p_g=q=1$ having an involution $i$ such that $S/i$ has non-negative Kodaira dimension and that the bicanonical map of $S$ factors through the double cover induced by $i.$ It is shown that $S/i$ is regular and either: a) the Albanese fibration of $S$ is of genus 2 or b) $S$ has no genus 2 fibration and $S/i$ is birational to a $K3$ surface. For case a) a list of possibilities and examples are given. An example for case b) with $K^2=6$ is also constructed. | |
| dc.description | revised version, correction in main theorem, to appear in Ann. Scuola Norm. Sup. Pisa | |
| dc.identifier | https://arxiv.org/abs/math/0510302 | |
| dc.identifier | http://arxiv.org/abs/math/0510302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124939 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | General Mathematics | |
| dc.subject | 14J29 | |
| dc.title | On surfaces with $p_g=q=1$ and non-ruled bicanonical involution | |
| dc.type | text |