p^k-torsion of genus two curves over F_{p^m}

Details p^k-torsion of genus two curves over F_{p^m} p^k-torsion of genus two curves over F_{p^m}

2007-05-27

arxiv.org/abs/0705.3932v3

Mathematics

Algebraic Geometry

7 pages; the proofs sketched in the previous version are now given in detail

Scientific paper

We determine the isogeny classes of abelian surfaces over F_q whose group of
F_q-rational points has order divisible by q^2. We also solve the same problem
for Jacobians of genus-2 curves.

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