Journal article
On subgroups of semi-abelian varieties defined by difference equations
- Abstract:
- We study the induced structure on definable groups in existentially closed difference fields. If G is a definable subgroup of a semi-abelian variety, orthogonal to every definable field, we show that G is stable and stably embedded; every definable subset of Gn is a Boolean combination of cosets of definable subgroups of Gn, and Gn has at most countably many definable subgroups. This generalises to positive characteristic earlier results of the authors.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 357.1KB, Terms of use)
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- Publisher copy:
- 10.1090/tran/6924
Authors
- Publisher:
- American Mathematical Society
- Journal:
- Transactions of the American Mathematical Society More from this journal
- Volume:
- 369
- Issue:
- 2017
- Pages:
- 3673-3705
- Publication date:
- 2016-12-30
- Acceptance date:
- 2016-02-19
- DOI:
- EISSN:
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1088-6850
- ISSN:
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0002-9947
- Keywords:
- Pubs id:
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pubs:648780
- UUID:
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uuid:4c27f56e-71a3-4e13-aa71-21b5cdcfca1e
- Local pid:
-
pubs:648780
- Source identifiers:
-
648780
- Deposit date:
-
2017-01-13
Terms of use
- Copyright holder:
- © Copyright 2016 American Mathematical Society
- Copyright date:
- 2016
- Notes:
- © Copyright 2016 American Mathematical Society
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