可分解阿贝尔 $G$-曲线与特殊子簇
代数几何
2025-04-01 v2
摘要
我们考虑直线的阿贝尔伽罗瓦覆盖族。当一般元素的雅可比簇是完全可分解的，即同构于椭圆曲线的乘积时，我们证明它们生成 的特殊子簇当且仅当某个数值条件成立，而该条件在一般情形下仅已知是充分的。
引用
@article{arxiv.2305.19030,
title = {Decomposable abelian $G$-curves and special subvarieties},
author = {Irene Spelta and Carolina Tamborini},
journal= {arXiv preprint arXiv:2305.19030},
year = {2025}
}
备注
Significantly rewritten. The main theorem and its proof have been fixed, and the exposition has been improved