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Special cycles on the
basic locus of unitary Shimura varieties at ramified
primes
Yousheng Shi |
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Vol. 17 (2023), No. 10, 1681–1714
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Abstract |
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We study special cycles on the basic locus of certain unitary Shimura varieties over the ramified primes and their local analogs on the corresponding Rapoport–Zink spaces. We study the support and compute the dimension of these cycles. |
Keywords
special cycles, ramified primes, unitary Shimura variety
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Mathematical Subject Classification
Primary: 11G15
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Milestones
Received: 2 April 2021
Revised: 7 September 2022
Accepted: 8 December 2022
Published: 19 September 2023
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Authors |
| Yousheng Shi | |
| Zhejiang University Zhejiang China |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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