Non-classical Godeaux Surfaces
| dc.creator | Liedtke, Christian | |
| dc.date | 2008-04-21 | |
| dc.date | 2008-08-25 | |
| dc.date.accessioned | 2026-07-07T12:31:45Z | |
| dc.date.available | 2026-07-07T12:31:45Z | |
| dc.description | A non-classical Godeaux surface is a minimal surface of general type with $χ=K^2=1$ but with $h^{01}\neq0$. We prove that such surfaces fulfill $h^{01}=1$ and they can exist only over fields of positive characteristic at most 5. Like non-classical Enriques surfaces they fall into two classes: the singular and the supersingular ones. We give a complete classification in characteristic 5 and compute their Hodge-, Hodge--Witt- and crystalline cohomology (including torsion). Finally, we give an example of a supersingular Godeaux surface in characteristic 5. | |
| dc.description | 13 pages, some minor mistakes corrected | |
| dc.identifier | https://arxiv.org/abs/0804.3353 | |
| dc.identifier | http://arxiv.org/abs/0804.3353 | |
| dc.identifier | Math. Ann. 343, 623-637 (2009) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216554 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29; 14J10 | |
| dc.title | Non-classical Godeaux Surfaces | |
| dc.type | text |