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arXiv · 0710.1298

On isogenous principally polarized abelian surfaces

I. Dolgachev·D. Lehavi
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Abstract

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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I. Dolgachev, D. Lehavi. 2008-03-08. On isogenous principally polarized abelian surfaces. https://arxiv.org/abs/0710.1298

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