On isogenous principally polarized abelian surfaces
On isogenous principally polarized abelian surfaces
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在同源主极化阿贝尔面上
DOI：
10.1090/conm/465/09100
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
D. Lehavi
中科院分区：
文献类型：
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作者：
I. Dolgachev;D. Lehavi
研究了两条亏格为2的曲线之间的关系，这两条曲线的Jacobian是同构的，其核等于关于Weil配对的p-挠点的极大迷向子空间。当p = 3时，我们发现两条曲线的Weierstrass点集之间存在显式关系，推广了F. Richelot（1837）和G. Humbert（1901）在p = 2的情况下。
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.