Hyperelliptic curves over F_2 of every 2-rank without extra automorphisms
| dc.creator | Zhu, Hui June | |
| dc.date | 2006-08-07 | |
| dc.date.accessioned | 2026-07-07T07:21:27Z | |
| dc.date.available | 2026-07-07T07:21:27Z | |
| dc.description | We prove that for any pair of integers 0\leq r\leq g such that g\geq 3 or r>0, there exists a (hyper)elliptic curve C over F_2 of genus g and 2-rank r whose automorphism group consists of only identity and the (hyper)elliptic involution. As an application, we prove the existence of principally polarized abelian varieties (A,λ) over F_2 of dimension g and 2-rank r such that \Aut(A,λ)={\pm 1}. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608156 | |
| dc.identifier | http://arxiv.org/abs/math/0608156 | |
| dc.identifier | Proc. Amer. Math. Soc. 134 (2006), no. 2, 323--331 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115305 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11,14 | |
| dc.title | Hyperelliptic curves over F_2 of every 2-rank without extra automorphisms | |
| dc.type | text |