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

Autor: Assaf Hasson, Piotr Kowalski
Předmět:
Zdroj: Proceedings of the London Mathematical Society; Jul2008, Vol. 97 Issue 1, p117-117, 1p
Abstrakt: We characterize those functions f:[double-struck C] → [double-struck C] definable in o-minimal expansions of the reals for which the structure ([double-struck C],, 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index