Beauville surfaces without real structures, I
| dc.creator | Bauer, Ingrid | |
| dc.creator | Catanese, Fabrizio | |
| dc.creator | Grunewald, Fritz | |
| dc.date | 2004-08-02 | |
| dc.date.accessioned | 2026-07-07T05:10:56Z | |
| dc.date.available | 2026-07-07T05:10:56Z | |
| dc.description | Inspired by a construction by Arnaud Beauville of a surface of general type with $K^2 = 8, p_g =0$, the second author defined the Beauville surfaces as the surfaces which are rigid, i.e., they have no nontrivial deformation, and admit un unramified covering which is isomorphic to a product of curves of genus at least 2. In this case the moduli space of surfaces homeomorphic to the given surface consists either of a unique real point, or of a pair of complex conjugate points corresponding to complex conjugate surfaces. It may also happen that a Beauville surface is biholomorphic to its complex conjugate surface, neverless it fails to admit a real structure. First aim of this note is to provide series of concrete examples of the second situation, respectively of the third. Second aim is to introduce a wider audience, especially group theorists, to the problem of classification of such surfaces, especially with regard to the problem of existence of real structures on them. | |
| dc.description | 40 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0408025 | |
| dc.identifier | http://arxiv.org/abs/math/0408025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72085 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 14J25, 14J29, 14J50; 20B25, 20F34, 20F05, 20F67 | |
| dc.title | Beauville surfaces without real structures, I | |
| dc.type | text |