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Arithmetic diagonal cycles on unitary Shimura varieties

Author(s)
Rapoport, M; Smithling, B; Zhang, W
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Abstract
<jats:p>We define variants of PEL type of the Shimura varieties that appear in the context of the arithmetic Gan–Gross–Prasad (AGGP) conjecture. We formulate for them a version of the AGGP conjecture. We also construct (global and semi-global) integral models of these Shimura varieties and formulate for them conjectures on arithmetic intersection numbers. We prove some of these conjectures in low dimension.</jats:p>
Date issued
2020
URI
https://hdl.handle.net/1721.1/135301
Journal
Compositio Mathematica
Publisher
Wiley
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21721.1/135301.22021-12-22T23:09:09ZAuthority information added/verified
11721.1/135301*2021-10-27T20:22:52Z

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