Restricted trichotomy in higher dimensions

2016/04/19 by Sustretov, Dmitry
#Algebraic Geometry (math.AG) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1604.05552

Abstract

I prove, answering a question of Zilber, that if M is an algebraic variety of dimension strictly greater than one and (M, …) is a strongly minimal structure with atomic relations definable in the Zariski language on M, then M is locally modular.

Related

• Restricted Trichotomy in Characteristic Zero
• The O-minimal Zilber Conjecture in Higher Dimensions
• Strongly minimal groups in o-minimal structures
• One dimensional structures in o-minimal theories
• The modularity of an abelian variety