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Article: Stratifications in the reduction of Shimura varieties

TitleStratifications in the reduction of Shimura varieties
Authors
He, X.Rapoport, M.
Keywords14G35
14M15
20G25
Issue Date2017
Citation
Manuscripta Mathematica, 2017, v. 152, n. 3-4, p. 317-343 How to Cite?
DOI: http://dx.doi.org/10.1007/s00229-016-0863-x
AbstractIn the paper four stratifications in the reduction modulo p of a general Shimura variety are studied: the Newton stratification, the Kottwitz–Rapoport stratification, the Ekedahl–Oort stratification and the Ekedahl–Kottwitz–Oort–Rapoport stratification. We formulate a system of axioms and show that these imply non-emptiness statements and closure relation statements concerning these various stratifications. These axioms are satisfied in the Siegel case.
Persistent Identifierhttp://hdl.handle.net/10722/329411
ISSN
0025-2611
2023 Impact Factor: 0.5
2023 SCImago Journal Rankings: 0.592
ISI Accession Number ID
WOS:000394376800002

 

DC FieldValueLanguage
dc.contributor.authorHe, X.-
dc.contributor.authorRapoport, M.-
dc.date.accessioned2023-08-09T03:32:35Z-
dc.date.available2023-08-09T03:32:35Z-
dc.date.issued2017-
dc.identifier.citationManuscripta Mathematica, 2017, v. 152, n. 3-4, p. 317-343-
dc.identifier.issn0025-2611-
dc.identifier.urihttp://hdl.handle.net/10722/329411-
dc.description.abstractIn the paper four stratifications in the reduction modulo p of a general Shimura variety are studied: the Newton stratification, the Kottwitz–Rapoport stratification, the Ekedahl–Oort stratification and the Ekedahl–Kottwitz–Oort–Rapoport stratification. We formulate a system of axioms and show that these imply non-emptiness statements and closure relation statements concerning these various stratifications. These axioms are satisfied in the Siegel case.-
dc.languageeng-
dc.relation.ispartofManuscripta Mathematica-
dc.subject14G35-
dc.subject14M15-
dc.subject20G25-
dc.titleStratifications in the reduction of Shimura varieties-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00229-016-0863-x-
dc.identifier.scopuseid_2-s2.0-84978891242-
dc.identifier.volume152-
dc.identifier.issue3-4-
dc.identifier.spage317-
dc.identifier.epage343-
dc.identifier.isiWOS:000394376800002-

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