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arXiv:0705.3932 [math.AG]AbstractReferencesReviewsResources

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

Michael E. Zieve

Published 2007-05-27, updated 2008-08-29Version 3

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.

Comments: 7 pages; the proofs sketched in the previous version are now given in detail
Journal: Math. Comp. 79 (2010) 1833-1838
Categories: math.AG, math.NT
Subjects: 14H40
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