Excellence and uncountable categoricity of Zilber's exponential fields

Abstract

We prove that Zilber's class of exponential fields is quasiminimal excellent and hence uncountably categorical, filling two gaps in Zilber's original proof.

References in corpus (3)

• On Quasiminimal Excellent Classes
• Exponential algebraicity in exponential fields
• Quasiminimal structures and excellence

Cited by in corpus (5)

• Quasiminimal structures and excellence
• Exponentially Closed Fields and the Conjecture on Intersections with Tori
• A geometric approach to some systems of exponential equations
• Model theory of special subvarieties and Schanuel-type conjectures
• Standard conjectures in model theory, and categoricity of comparison isomorphisms