K3 surfaces of finite height over finite fields
| dc.creator | Yu, J. -D. | |
| dc.creator | Yui, N. | |
| dc.date | 2007-09-13 | |
| dc.date | 2008-05-01 | |
| dc.date.accessioned | 2026-07-07T09:36:16Z | |
| dc.date.available | 2026-07-07T09:36:16Z | |
| dc.description | Arithmetic of K3 surfaces defined over finite fields is investigated. In particular, we show that any K3 surface of finite height over a finite field k of characteristic p > 3 has a quasi-canonical lifting to characteristic 0, and that for any such lifting, the endormorphism algebra of the transcendental cycles, as a Hodge module, is a CM field. The Tate conjecture for the product of certain two K3 surfaces is also proved. We illustrate by examples how to determine explicitly the formal Brauer group associated to a K3 surface over k. Examples discussed here are all of hypergeometric type. | |
| dc.description | Cor.3.4 added, typos corrected, to appear in J. Math. Kyoto Univ | |
| dc.identifier | https://arxiv.org/abs/0709.1979 | |
| dc.identifier | http://arxiv.org/abs/0709.1979 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160060 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J28; 14G15 | |
| dc.title | K3 surfaces of finite height over finite fields | |
| dc.type | text |