Algebraicity of Hodge classes on some generalized Prym Varieties
Algebraic Geometry
2026-05-26 v2
Abstract
In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (unramified) geometric class field theory, and apply it to prove the algebraicity of certain Hodge classes on some generalized Prym Varieties.
Cite
@article{arxiv.2506.13729,
title = {Algebraicity of Hodge classes on some generalized Prym Varieties},
author = {Deepam Patel and Yilong Zhang},
journal= {arXiv preprint arXiv:2506.13729},
year = {2026}
}
Comments
14 pages, exposition revised