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arXiv · 2506.13729

Algebraicity of Hodge classes on some generalized Prym Varieties

Deepam Patel·Yilong Zhang
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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.

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Deepam Patel, Yilong Zhang. 2025-06-16. Algebraicity of Hodge classes on some generalized Prym Varieties. https://arxiv.org/abs/2506.13729

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