On isogenous principally polarized abelian surfaces
Algebraic Geometry
2010-04-06 v3
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.
Keywords
Cite
@article{arxiv.0710.1298,
title = {On isogenous principally polarized abelian surfaces},
author = {I. Dolgachev and D. Lehavi},
journal= {arXiv preprint arXiv:0710.1298},
year = {2010}
}
Comments
23 pages. corrected typos