A Modular Non-Rigid Calabi-Yau Threefold
| dc.creator | Lee, Edward | |
| dc.date | 2005-08-07 | |
| dc.date | 2005-10-27 | |
| dc.date.accessioned | 2026-07-07T06:42:45Z | |
| dc.date.available | 2026-07-07T06:42:45Z | |
| dc.description | We construct an algebraic variety by resolving singularities of a quintic Calabi-Yau threefold. The middle cohomology of the threefold is shown to contain a piece coming from a pair of elliptic surfaces. The resulting quotient is a two-dimensional Galois representation. By using the Lefschetz fixed-point theorem in étale cohomology and counting points on the variety over finite fields, this Galois representation is shown to be modular. | |
| dc.description | 34 pages; To appear in "Mirror Symmetry V", Proceedings of the BIRS Workshop on Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003. Some typos in tables corrected, proof of Lemma 5.6 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0508127 | |
| dc.identifier | http://arxiv.org/abs/math/0508127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102158 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14J32 (primary); 14J15 (secondary) | |
| dc.title | A Modular Non-Rigid Calabi-Yau Threefold | |
| dc.type | text |