Hyperelliptic jacobians without complex multiplication in positive characteristic
| dc.creator | Zarhin, Yuri G. | |
| dc.date | 2001-01-06 | |
| dc.date.accessioned | 2026-07-07T04:39:32Z | |
| dc.date.available | 2026-07-07T04:39:32Z | |
| dc.description | We prove that in odd characteristic the jacobian of a hyperelliptic curve $y^2=f(x)$ has no nontrivial endomorphisms over an algebraic closure of the ground field if the Galois group of the polynomial $f$ of even degree is ``very big". The case of characteristic zero was previously treated by the author (Math. Res. Letters 7(2000), 123--132). | |
| dc.description | LaTeX2e, 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0101050 | |
| dc.identifier | http://arxiv.org/abs/math/0101050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60704 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14H40; 14K05; 11G30; 11G10 | |
| dc.title | Hyperelliptic jacobians without complex multiplication in positive characteristic | |
| dc.type | text |