The GL4 Rapoport–Zink Space
Abstract We give a description of the $\textrm{GL}_4$ Rapoport–Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl–Oort stratification. As an application of this, we also give a description of the supersingular locu...
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| Veröffentlicht in: | International mathematics research notices 2022-01, Vol.2022 (3), p.1825-1892 |
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| container_end_page | 1892 |
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| container_issue | 3 |
| container_start_page | 1825 |
| container_title | International mathematics research notices |
| container_volume | 2022 |
| creator | Fox, Maria |
| description | Abstract
We give a description of the $\textrm{GL}_4$ Rapoport–Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl–Oort stratification. As an application of this, we also give a description of the supersingular locus of the Shimura variety for the group $\textrm{GU}(2,2)$ over a prime split in the relevant imaginary quadratic field. |
| doi_str_mv | 10.1093/imrn/rnz225 |
| format | Article |
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We give a description of the $\textrm{GL}_4$ Rapoport–Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl–Oort stratification. As an application of this, we also give a description of the supersingular locus of the Shimura variety for the group $\textrm{GU}(2,2)$ over a prime split in the relevant imaginary quadratic field.</description><identifier>ISSN: 1073-7928</identifier><identifier>EISSN: 1687-0247</identifier><identifier>DOI: 10.1093/imrn/rnz225</identifier><language>eng</language><publisher>Oxford University Press</publisher><ispartof>International mathematics research notices, 2022-01, Vol.2022 (3), p.1825-1892</ispartof><rights>The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com. 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c1095-779c82106d4fea7e3dc110e5eb9d9950ebd3eedd6fd79e3de55f294c081e7d113</citedby><cites>FETCH-LOGICAL-c1095-779c82106d4fea7e3dc110e5eb9d9950ebd3eedd6fd79e3de55f294c081e7d113</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Fox, Maria</creatorcontrib><title>The GL4 Rapoport–Zink Space</title><title>International mathematics research notices</title><description>Abstract
We give a description of the $\textrm{GL}_4$ Rapoport–Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl–Oort stratification. As an application of this, we also give a description of the supersingular locus of the Shimura variety for the group $\textrm{GU}(2,2)$ over a prime split in the relevant imaginary quadratic field.</description><issn>1073-7928</issn><issn>1687-0247</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9j8FKxDAURYMoOI6uXAtduZE67yVNkyxl0FEoDOi4cRMyyStWnTakutCV_-Af-iV2qOtZvQvvcC-HsVOESwQjZs0mtbPUfnEu99gES61y4IXaHzIokSvD9SE76vsXAA6oxYSdrZ4pW1RFdu9iF7v0_vv989S0r9lDdJ6O2UHt3no6-b9T9nhzvZrf5tVycTe_qnI_zMpcKeM1RyhDUZNTJIJHBJK0NsEYCbQOgiiEsg7KDF-Ssuam8KCRVEAUU3Yx9vrU9X2i2sbUbFz6tAh2a2a3ZnY0G-jzke4-4k7wD9tmT5k</recordid><startdate>20220128</startdate><enddate>20220128</enddate><creator>Fox, Maria</creator><general>Oxford University Press</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220128</creationdate><title>The GL4 Rapoport–Zink Space</title><author>Fox, Maria</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1095-779c82106d4fea7e3dc110e5eb9d9950ebd3eedd6fd79e3de55f294c081e7d113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fox, Maria</creatorcontrib><collection>CrossRef</collection><jtitle>International mathematics research notices</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fox, Maria</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The GL4 Rapoport–Zink Space</atitle><jtitle>International mathematics research notices</jtitle><date>2022-01-28</date><risdate>2022</risdate><volume>2022</volume><issue>3</issue><spage>1825</spage><epage>1892</epage><pages>1825-1892</pages><issn>1073-7928</issn><eissn>1687-0247</eissn><abstract>Abstract
We give a description of the $\textrm{GL}_4$ Rapoport–Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl–Oort stratification. As an application of this, we also give a description of the supersingular locus of the Shimura variety for the group $\textrm{GU}(2,2)$ over a prime split in the relevant imaginary quadratic field.</abstract><pub>Oxford University Press</pub><doi>10.1093/imrn/rnz225</doi><tpages>68</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1073-7928 |
| ispartof | International mathematics research notices, 2022-01, Vol.2022 (3), p.1825-1892 |
| issn | 1073-7928 1687-0247 |
| language | eng |
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| source | Oxford University Press Journals All Titles (1996-Current) |
| title | The GL4 Rapoport–Zink Space |
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