Arithmetic diagonal cycles on unitary Shimura varieties

This is not the latest version of this item. The latest version can be found at:https://dspace.mit.edu/handle/1721.1/135301.2

dc.contributor.author	Rapoport, M
dc.contributor.author	Smithling, B
dc.contributor.author	Zhang, W
dc.date.accessioned	2021-10-27T20:22:52Z
dc.date.available	2021-10-27T20:22:52Z
dc.date.issued	2020
dc.identifier.uri	https://hdl.handle.net/1721.1/135301
dc.description.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>
dc.language.iso	en
dc.publisher	Wiley
dc.relation.isversionof	10.1112/S0010437X20007289
dc.rights	Creative Commons Attribution-Noncommercial-Share Alike
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.source	arXiv
dc.title	Arithmetic diagonal cycles on unitary Shimura varieties
dc.type	Article
dc.relation.journal	Compositio Mathematica
dc.eprint.version	Author's final manuscript
dc.type.uri	http://purl.org/eprint/type/JournalArticle
eprint.status	http://purl.org/eprint/status/PeerReviewed
dc.date.updated	2021-06-01T17:12:49Z
dspace.orderedauthors	Rapoport, M; Smithling, B; Zhang, W
dspace.date.submission	2021-06-01T17:12:50Z
mit.journal.volume	156
mit.journal.issue	9
mit.license	OPEN_ACCESS_POLICY
mit.metadata.status	Authority Work and Publication Information Needed