$p^k$-torsion of genus two curves over $\mathbb {F}_{p^m}$
نویسندگان
چکیده
منابع مشابه
Pk-torsion of Genus Two Curves over 𝔽pm
We determine the isogeny classes of abelian surfaces over Fq whose group of Fq-rational points has order divisible by q . We also solve the same problem for Jacobians of genus-2 curves. In a recent paper [4], Ravnshøj proved: if C is a genus-2 curve over a prime field Fp, and if one assumes that the endomorphism ring of the Jacobian J of C is the ring of integers in a primitive quartic CM-field...
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We determine the isogeny classes of abelian surfaces over Fq whose group of Fq-rational points has order divisible by q. We also solve the same problem for Jacobians of genus-2 curves. In a recent paper [1], Ravnshøj proved: if C is a genus-2 curve over a prime field Fp, and if one assumes that the endomorphism ring of the Jacobian J of C is the ring of integers in a primitive quartic CM-field,...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2010
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-10-02305-7