On the algebraic fundamental group of surfaces with K^2\leq 3χ
| dc.creator | Lopes, Margarida Mendes | |
| dc.creator | Pardini, Rita | |
| dc.date | 2005-12-21 | |
| dc.date | 2007-03-16 | |
| dc.date.accessioned | 2026-07-07T07:52:04Z | |
| dc.date.available | 2026-07-07T07:52:04Z | |
| dc.description | Let S be a minimal complex surface of general type with $q(S)=0$. We prove the following statements concerning the algebraic fundamental group: I) Assume that K^2_S\leq 3χ(S). Then S has an irregular etale cover if and only if S has a free pencil of hyperelliptic curves of genus 3 with at least 4 double fibres. II) If K^2_S=3 and χ(S)=1, then S has no irregular etale cover. III) If K^2_S<3χ(S) and S does not have any irregular etale cover, then the order of the algebraic fundamental group is lesser or equal to 9, and if equality occurs then K^2_S=2, χ(S)=1. | |
| dc.description | Final version, to appear in J.D.G | |
| dc.identifier | https://arxiv.org/abs/math/0512483 | |
| dc.identifier | http://arxiv.org/abs/math/0512483 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125742 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29;14F35 | |
| dc.title | On the algebraic fundamental group of surfaces with K^2\leq 3χ | |
| dc.type | text |