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

Abstract

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.

arXiv comment7 pages; the proofs sketched in the previous version are now given in detail

References in corpus (1)

• p-torsion of Genus Two Curves Over Prime Fields of Characteristic p