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Zilber's field-like geometry conjecture for strongly minimal sets
A strongly minimal set is a definable set whose definable subsets are finite or cofinite; its algebraic closure induces a combinatorial geometry, which is non-locally modular when…
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Zil'ber's trichotomy conjecture for strongly minimal sets
Zil'ber's trichotomy conjecture. After naming some parameters, the geometry of a strongly minimal set is isomorphic to that of a set, that of a vector space, or that of an algebrai…