Crystalline subrepresentations and Neron models
We propose the notion of the {\em crystalline sub-representation functor} defined on $p$-adic representations of the Galois groups of finite extensions of $\Qp$, with certain restrictions in the case of integral representations. By studying its right-derived functors, we find a natural extension of...
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| Format: | Journal article |
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International Press
2000
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| _version_ | 1797097781884616704 |
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| author | Kim, M Marshall, S |
| author_facet | Kim, M Marshall, S |
| author_sort | Kim, M |
| collection | OXFORD |
| description | We propose the notion of the {\em crystalline sub-representation functor} defined on $p$-adic representations of the Galois groups of finite extensions of $\Qp$, with certain restrictions in the case of integral representations. By studying its right-derived functors, we find a natural extension of a formula of Grothendieck expressing the group of connected components of a Neron model of an abelian variety in terms of Galois cohomology. |
| first_indexed | 2024-03-07T05:00:10Z |
| format | Journal article |
| id | oxford-uuid:d800a07b-f261-4e56-9864-647a87ebd2df |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:00:10Z |
| publishDate | 2000 |
| publisher | International Press |
| record_format | dspace |
| spelling | oxford-uuid:d800a07b-f261-4e56-9864-647a87ebd2df2022-03-27T08:45:08ZCrystalline subrepresentations and Neron modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d800a07b-f261-4e56-9864-647a87ebd2dfSymplectic Elements at OxfordInternational Press2000Kim, MMarshall, SWe propose the notion of the {\em crystalline sub-representation functor} defined on $p$-adic representations of the Galois groups of finite extensions of $\Qp$, with certain restrictions in the case of integral representations. By studying its right-derived functors, we find a natural extension of a formula of Grothendieck expressing the group of connected components of a Neron model of an abelian variety in terms of Galois cohomology. |
| spellingShingle | Kim, M Marshall, S Crystalline subrepresentations and Neron models |
| title | Crystalline subrepresentations and Neron models |
| title_full | Crystalline subrepresentations and Neron models |
| title_fullStr | Crystalline subrepresentations and Neron models |
| title_full_unstemmed | Crystalline subrepresentations and Neron models |
| title_short | Crystalline subrepresentations and Neron models |
| title_sort | crystalline subrepresentations and neron models |
| work_keys_str_mv | AT kimm crystallinesubrepresentationsandneronmodels AT marshalls crystallinesubrepresentationsandneronmodels |