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Article: Stratifications in the reduction of Shimura varieties
Title | Stratifications in the reduction of Shimura varieties |
---|---|
Authors | |
Keywords | 14G35 14M15 20G25 |
Issue Date | 2017 |
Citation | Manuscripta Mathematica, 2017, v. 152, n. 3-4, p. 317-343 How to Cite? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/329411 |
ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.592 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | He, X. | - |
dc.contributor.author | Rapoport, M. | - |
dc.date.accessioned | 2023-08-09T03:32:35Z | - |
dc.date.available | 2023-08-09T03:32:35Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Manuscripta Mathematica, 2017, v. 152, n. 3-4, p. 317-343 | - |
dc.identifier.issn | 0025-2611 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329411 | - |
dc.description.abstract | In 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.language | eng | - |
dc.relation.ispartof | Manuscripta Mathematica | - |
dc.subject | 14G35 | - |
dc.subject | 14M15 | - |
dc.subject | 20G25 | - |
dc.title | Stratifications in the reduction of Shimura varieties | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00229-016-0863-x | - |
dc.identifier.scopus | eid_2-s2.0-84978891242 | - |
dc.identifier.volume | 152 | - |
dc.identifier.issue | 3-4 | - |
dc.identifier.spage | 317 | - |
dc.identifier.epage | 343 | - |
dc.identifier.isi | WOS:000394376800002 | - |