A K3 surface associated to certain integral matrices with integral eigenvalues
| dc.creator | van Luijk, Ronald | |
| dc.date | 2004-11-26 | |
| dc.date | 2005-06-11 | |
| dc.date.accessioned | 2026-07-07T05:14:44Z | |
| dc.date.available | 2026-07-07T05:14:44Z | |
| dc.description | In this article we will show that there are infinitely many symmetric, integral 3 x 3 matrices, with zeros on the diagonal, whose eigenvalues are all integral. We will do this by proving that the rational points on a certain non-Kummer, singular K3 surface are dense. We will also compute the entire Neron-Severi group of this surface and find all low degree curves on it. | |
| dc.description | 21 pages, Latex. Changed some typos, definition 5.5, part of the proof of proposition 6.1, and added a reference. Submitted a version with a few more changes suggested by a referee to the Canadian Mathematical Bulletin | |
| dc.identifier | https://arxiv.org/abs/math/0411600 | |
| dc.identifier | http://arxiv.org/abs/math/0411600 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73392 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14J28; 14G05; 14C22 | |
| dc.title | A K3 surface associated to certain integral matrices with integral eigenvalues | |
| dc.type | text |