Tate Classes On Siegel 3-folds

Yannan Qiu

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arXiv · 2105.03916

Tate Classes On Siegel 3-folds

Yannan Qiu

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Abstract

This article proves that Tate classes on Siegel modular 3-folds are spanned by the images of Hilbert modular surfaces at degree 2 and by the images of Shimura curves at degree 4. The proof involves a careful study of the period pairing between degree-4 rapidly decreasing cohomological forms and Hilbert modular surfaces.

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Yannan Qiu. 2021-05-09. Tate Classes On Siegel 3-folds. https://arxiv.org/abs/2105.03916

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