Group structures of elementary supersingular abelian varieties over finite fields
| dc.creator | Zhu, Hui | |
| dc.date | 1998-08-31 | |
| dc.date.accessioned | 2026-07-07T05:25:51Z | |
| dc.date.available | 2026-07-07T05:25:51Z | |
| dc.description | Let A be a supersingular abelian variety over a finite field k. We give an approximate description of the structure of the group A(k) of rational points of A over k in terms of the characteristic polynomial f of the Frobenius endomorphism of A relative to k. If f=g^e for a monic irreducible polynomial g and a positive integer e, we show that there is a group homomorphism A(k) --> (Z/g(1)Z)^e whose kernel and cokernel are elementary abelian 2-groups. In particular, this map is an isomorphism if the characteristic of k is 2 or A is simple of dimension greater than 2; in the last case one has e=1 or 2, and A(k) is isomorphic to (Z/g(1)Z)^e. | |
| dc.identifier | https://arxiv.org/abs/math/9808144 | |
| dc.identifier | http://arxiv.org/abs/math/9808144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77339 | |
| dc.subject | Number Theory | |
| dc.title | Group structures of elementary supersingular abelian varieties over finite fields | |
| dc.type | text |