Numerical Campedelli surfaces with fundamental group of order 9
| dc.creator | Lopes, Margarida Mendes | |
| dc.creator | Pardini, Rita | |
| dc.date | 2006-02-27 | |
| dc.date | 2007-03-16 | |
| dc.date.accessioned | 2026-07-07T07:52:04Z | |
| dc.date.available | 2026-07-07T07:52:04Z | |
| dc.description | We give explicit constructions of all the numerical Campedelli surfaces, i.e the minimal surfaces of general type with K^2=2 and p_g=0, whose fundamental group has order 9. There are three families, one with fundamental group equal to Z_9 and two with fundamental group equal to Z_3^2. We also determine the base locus of the bicanonical system of these surfaces. It turns out that for the surfaces with fundamental group equal to Z_9 and for one of the families of surfaces with fundamental group equal to Z_3^2 the base locus consists of two points. To our knowlegde, these are the only known examples of surfaces of general type with K^2>1 whose bicanonical system has base points. | |
| dc.description | Final version, to appear in J.E.M.S | |
| dc.identifier | https://arxiv.org/abs/math/0602633 | |
| dc.identifier | http://arxiv.org/abs/math/0602633 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125743 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29 | |
| dc.title | Numerical Campedelli surfaces with fundamental group of order 9 | |
| dc.type | text |