We characterize those functions f: → definable in o-minimal expansions of the reals for which the structure (,+, f) is strongly minimal: such functions must be complex constructible, possibly after conjugating by a real matrix. In particular we prove a special case of the Zilber Dichotomy: an algebraically closed field is definable in certain strongly minimal structures which are definable in an o-minimal field.
|Number of pages||38|
|Journal||Proceedings of the London Mathematical Society|
|State||Published - 1 Jan 2008|
ASJC Scopus subject areas
- Mathematics (all)