Torsion of abelian varieties, Weil classes and cyclotomic extensions
| dc.creator | Zarhin, Yuri G. | |
| dc.date | 1997-08-04 | |
| dc.date | 1997-12-16 | |
| dc.date.accessioned | 2026-07-07T08:58:11Z | |
| dc.date.available | 2026-07-07T08:58:11Z | |
| dc.description | Let $K$ be a field finitely generated over the field of rational numbers, $K(c)$ the extension of $K$ obtained by adjoining all roots of unity, $L$ an infinite Galois extension of $K$, $X$ an abelian variety defined over $K$. We prove that under certain conditions on $X$ and $K$ the existence of infinitely many L-rational points of finite order on $X$ implies that the intersection of $L$ and $K(c)$ has infinite degree over $K$. | |
| dc.description | LaTeX 2e 17 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9708007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9708007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147223 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K15 (Primary) 11G10 (Secondary) | |
| dc.title | Torsion of abelian varieties, Weil classes and cyclotomic extensions | |
| dc.type | text |