Decomposable abelian $G$-curves and special subvarieties
Algebraic Geometry
2025-04-01 v2
Abstract
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 if and only if a numerical condition holds, which in the general case is only known to be sufficient.
Keywords
Cite
@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}
}
Comments
Significantly rewritten. The main theorem and its proof have been fixed, and the exposition has been improved