可分解阿贝尔g曲线及其特殊子变种

IF 0.9 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2025-03-14 DOI:10.1016/j.bulsci.2025.103616

Irene Spelta , Carolina Tamborini

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引用次数: 0

摘要

我们考虑线的阿贝尔伽罗瓦覆盖的族。当一般元的雅可比矩阵是完全可分解的，即与椭圆曲线的乘积是等齐时，我们证明了它们产生Ag的特殊子变量当且仅当一个数值条件成立，在一般情况下，这个数值条件是已知的充分的。

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Decomposable abelian G-curves and special subvarieties

We consider families of abelian Galois coverings of the line. When the Jacobian of the general element is totally decomposable, i.e., is isogenous to a product of elliptic curves, we prove that they yield special subvarieties of