On the motive of Kummer varieties associated to $Γ_1(7)$ - Supplement to the paper: The modularity of certain non-rigid Calabi-Yau threefolds (by R. Livné and N. Yui)
| dc.creator | Hulek, Klaus | |
| dc.creator | Verrill, Helena | |
| dc.date | 2005-06-20 | |
| dc.date.accessioned | 2026-07-07T05:20:51Z | |
| dc.date.available | 2026-07-07T05:20:51Z | |
| dc.description | In their paper Livné and Yui (math.AG/0304497) discuss several examples of non-rigid Calabi-Yau varieties which admit semi-stable K3-fibrations with 6 singular fibres over a base which is a rational modular curve. They also establish the modularity of the L-function of these examples. The purpose of this note is to point out that the examples which were listed in their paper, but which do not lead to semi-stable fibrations, are still modular in the sense that their L-function is associated to modular forms. We treat the case associated to the group Gamma_1(7) in detail, but our technique also applies to many other cases. We further make some comments concerning the Kummer construction for fibre products of elliptic surfaces in general. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506388 | |
| dc.identifier | http://arxiv.org/abs/math/0506388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75532 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14J32: 14G10; 14F30; 11G40; 11F03 | |
| dc.title | On the motive of Kummer varieties associated to $Γ_1(7)$ - Supplement to the paper: The modularity of certain non-rigid Calabi-Yau threefolds (by R. Livné and N. Yui) | |
| dc.type | text |