Strongly minimal expansions of (ℂ, +) definable in o-minimal fields

Assaf Hasson, Piotr Kowalski

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)117-154
Number of pages38
JournalProceedings of the London Mathematical Society
Issue number1
StatePublished - 1 Jan 2008
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)


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