Journal article
Crystalline subrepresentations and Neron models
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 119.6KB, Terms of use)
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- Publisher copy:
- 10.4310/MRL.2000.v7.n5.a6
Authors
- Publisher:
- International Press
- Journal:
- Mathematical Research Letters More from this journal
- Volume:
- 7
- Issue:
- 5
- Pages:
- 605–614
- Publication date:
- 2000-01-01
- DOI:
- EISSN:
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1945-001X
- ISSN:
-
1073-2780
Terms of use
- Copyright holder:
- Kim and Marshall
- Copyright date:
- 2000
- Notes:
- This is the author's accepted manuscript version. Final publication is available via http://dx.doi.org/10.4310/MRL.2000.v7.n5.a6
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