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arXiv · 1906.12346

On Shimura varieties for unitary groups

Michael Rapoport·Brian Smithling·Wei Zhang
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Abstract

This is a largely expository article based on our previous work on arithmetic diagonal cycles on unitary Shimura varieties. We define a class of Shimura varieties closely related to unitary groups which represent a moduli problem of abelian varieties with additional structure, and which admit interesting algebraic cycles. We generalize to arbitrary signature type the results of our previous work valid under special signature conditions. We compare our Shimura varieties with other unitary Shimura varieties.

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Michael Rapoport, Brian Smithling, Wei Zhang. 2019-06-28. On Shimura varieties for unitary groups. https://arxiv.org/abs/1906.12346

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