The geometry of Hrushovski constructions, II. The strongly minimal case

TL;DR

This paper explores the geometric structures derived from Hrushovski's flat strongly minimal models, providing insights into their isomorphism types and addressing open questions from the original work.

Contribution

It advances understanding of the geometric properties of Hrushovski's strongly minimal structures and clarifies their isomorphism classifications.

Findings

Characterization of isomorphism types of geometries

Resolution of open questions from Hrushovski's original paper

Deeper understanding of flat strongly minimal structures

Abstract

We investigate the isomorphism types of combinatorial geometries arising from Hrushovski's flat strongly minimal structures and answer some questions from Hrushovski's original paper.