Arithmetic of the [19,1,1,1,1,1] fibration
| dc.creator | Schuett, Matthias | |
| dc.creator | Top, Jaap | |
| dc.date | 2005-10-04 | |
| dc.date.accessioned | 2026-07-07T06:31:00Z | |
| dc.date.available | 2026-07-07T06:31:00Z | |
| dc.description | This paper studies the arithmetic of the extremal elliptic K3 surface with configuration of singular fibres [19,1,1,1,1,1]. We give a model over Q such that the Neron Severi group is generated by divisors over Q, and we describe the local Hasse-Weil zeta-functions in terms of a modular form of weight 3. Furthermore we verify the Tate conjecture for the reduction at 3 and comment on a conjecture of T. Shioda concerning the similarity of the lattice of transcendental cycles and a lattice resulting from supersingular reduction. | |
| dc.description | 8 pages, plain text | |
| dc.identifier | https://arxiv.org/abs/math/0510063 | |
| dc.identifier | http://arxiv.org/abs/math/0510063 | |
| dc.identifier | Comm. Math. Univ. St. Pauli 55, 1 (2006), 9-16 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98492 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11G25, 14J27, 14J28 | |
| dc.title | Arithmetic of the [19,1,1,1,1,1] fibration | |
| dc.type | text |