Tate Classes On Siegel 3-folds
Number Theory
2021-05-11 v1
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.
Keywords
Cite
@article{arxiv.2105.03916,
title = {Tate Classes On Siegel 3-folds},
author = {Yannan Qiu},
journal= {arXiv preprint arXiv:2105.03916},
year = {2021}
}
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29 pages