On isogenous principally polarized abelian surfaces

Details On isogenous principally polarized abelian surfaces On isogenous principally polarized abelian surfaces

2007-10-07

arxiv.org/abs/0710.1298v3

AMS contemp. math. series, volume 465 (2008): Curves and abelian varieties, p 51-69.

Mathematics

Algebraic Geometry

23 pages. corrected typos

Scientific paper

We study a relationship between two genus 2 curves whose jacobians are
isogenous with kernel equal to a maximal isotropic subspace of p-torsion points
with respect to the Weil pairing. For p = 3 we find an explicit relationship
between the set of Weierstrass points of the two curves extending the classical
results of F. Richelot (1837) and G. Humbert (1901) in the case p = 2.

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