Linear relations among the values of canonical heights from the existence of non-trivial endomorphisms
| dc.creator | Naumann, Niko | |
| dc.date | 2002-05-10 | |
| dc.date | 2003-01-05 | |
| dc.date.accessioned | 2026-07-07T04:48:24Z | |
| dc.date.available | 2026-07-07T04:48:24Z | |
| dc.description | We study the interplay between canonical heights and endomorphisms of an abelian variety $A$ over a number field $k$. In particular we show that whenever the ring of endomorphisms defined over $k$ is strictly larger than $\Z$ there will be $\Q$-linear relations among the values of a canonical height-pairing evaluated at a basis modulo torsion of $A(k)$. | |
| dc.description | 14 pages, exposition improved, to appear in Bulletin of the Canadian Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/0205104 | |
| dc.identifier | http://arxiv.org/abs/math/0205104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64033 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11G10, 14K15 | |
| dc.title | Linear relations among the values of canonical heights from the existence of non-trivial endomorphisms | |
| dc.type | text |