Abstract
(1) We construct a strongly minimal expansion of an algebraically closed field of a given characteristic. Actually we show a much more general result, implying for example the existence of a strongly minimal set with two different field structures of distinct characteristics.
(2) A strongly minimal expansion of an algebraically closed field that preserves the algebraic closure relation must be an expansion by (algebraic) constants.
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Supported by NSF grants DMS 8903378.
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Hrushovski, E. Strongly minimal expansions of algebraically closed fields. Israel J. Math. 79, 129–151 (1992). https://doi.org/10.1007/BF02808211
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DOI: https://doi.org/10.1007/BF02808211