Journal article
Affine Nash groups over real closed fields
- Abstract:
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We prove that a semialgebraically connected affine Nash group over a real closed field R is Nash isogenous to the semialgebraically connected component of the group H(R) of R-points of some algebraic group H defined over R. In the case when R is the field of real numbers this result was claimed in the paper "Groups definable in local fields and pseudofinite fields", Israel J. Math. 85 (1994) by the same two authors, but a mistake in the proof was recently found, and the new proof we obtained ...
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- Publication status:
- Not published
- Peer review status:
- Not peer reviewed
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(Author's original, pdf, 111.0KB)
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Bibliographic Details
- Journal:
- arXiv
- Publication date:
- 2011-05-13
- Source identifiers:
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648777
Item Description
- Keywords:
- Pubs id:
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pubs:648777
- UUID:
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uuid:a7a631d4-31c4-4594-a384-95dea5a2d02a
- Local pid:
- pubs:648777
- Deposit date:
- 2017-01-13
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- Copyright date:
- 2011
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