摘要翻译:
研究了两个Jacobian等同且核等于p-扭转点的极大各向同性子空间的亏格2曲线关于Weil对的关系。对于p=3,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情况下的经典结果。
---
英文标题:
《On isogenous principally polarized abelian surfaces》
---
作者:
I. Dolgachev and D. Lehavi
---
最新提交年份:
2008
---
分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
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.
---
PDF链接:
https://arxiv.org/pdf/0710.1298


雷达卡



京公网安备 11010802022788号







