Surfaces with K^2<3χand finite fundamental group
| dc.creator | Ciliberto, Ciro | |
| dc.creator | Lopes, Margarida Mendes | |
| dc.creator | Pardini, Rita | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:09:44Z | |
| dc.date.available | 2026-07-07T08:09:44Z | |
| dc.description | In this paper we continue the study of algebraic fundamentale group of minimal surfaces of general type S satisfying K_S^2<3χ(S). We show that, if K_S^2= 3χ(S)-1 and the algebraic fundamental group of S has order 8, then S is a Campedelli surface. In view of the results of math.AG/0512483 and math.AG/0605733, this implies that the fundamental group of a surface with K^2<3χthat has no irregular etale cover has order at most 9, and if it has order 8 or 9, then S is a Campedelli surface. To obtain this result we establish some classification results for minimal surfaces of general type such that K^2=3p_g-5 and such that the canonical map is a birational morphism. We also study rational surfaces with a Z_2^3-action. | |
| dc.description | 18 pages. To appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/0706.1784 | |
| dc.identifier | http://arxiv.org/abs/0706.1784 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131626 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29 | |
| dc.title | Surfaces with K^2<3χand finite fundamental group | |
| dc.type | text |