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The structure of the rational point groups of simple abelian varieties of dimension two over finite fields

✍ Scribed by Chaoping Xing

Publisher
Springer
Year
1994
Tongue
English
Weight
223 KB
Volume
63
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

On Supersingular Abelian Varieties of Di
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✍ Chaoping Xing πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 243 KB

In this paper we study the characteristic polynomials and the rational point group structure of supersingular varieties of dimension two over finite fields. Meanwhile, we also list all L-functions of supersingular curves of genus two over ‫ކ‬ 2 and determine the group structure of their divisor clas

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Let A be a supersingular abelian variety over a finite field k which is k-isogenous to a power of a simple abelian variety over k. Write the characteristic polynomial of the Frobenius endomorphism of A relative to k as f = g e for a monic irreducible polynomial g and a positive integer e. We show th