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

Michael E. Zieve

arxiv: 0705.3932 · v3 · pith:6DT7KMBPnew · submitted 2007-05-27 · 🧮 math.AG · math.NT

p^k-torsion of genus two curves over F_(p^m)

Michael E. Zieve This is my paper

classification 🧮 math.AG math.NT

keywords curvesabelianclassesdeterminedivisiblegenusgenus-2group

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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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p^k-torsion of genus two curves over F_(p^m)

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