Some new surfaces with $p_g = q = 0$
| dc.creator | Bauer, Ingrid C. | |
| dc.creator | Catanese, Fabrizio M. E. | |
| dc.date | 2003-10-10 | |
| dc.date | 2003-12-12 | |
| dc.date.accessioned | 2026-07-07T05:01:47Z | |
| dc.date.available | 2026-07-07T05:01:47Z | |
| dc.description | Motivated by a question by D. Mumford : can a computer classify all surfaces with $p_g = 0$ ? we try to show the complexity of the problem. We restrict it to the classification of the minimal surfaces of general type with $p_g = 0, K^2 = 8$ which are constructed by the Beauville construction, namely, which are quotients of a product of curves by the free action of a finite group G acting separately on each component. We think that man and computer will soon solve this classification problem. In the paper we classify completely the 5 cases where the group G is abelian. For these surfaces, we describe the moduli space (sometimes it is just a real point), and the first homology group. We describe also 5 examples where the group G is non abelian. Three of the latter examples had been previously described by R. Pardini. | |
| dc.description | 23 pages, to appear in the Proceedings of the Fano Conference (Torino, 2002) Volume, Bull. U.M.I. Example 5.3 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0310150 | |
| dc.identifier | http://arxiv.org/abs/math/0310150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68807 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29, 14J25, 14J10, 14H37 | |
| dc.title | Some new surfaces with $p_g = q = 0$ | |
| dc.type | text |