A non-desarguesian projective plane

TL;DR

This paper introduces a novel non-Desarguesian projective plane built from complex analytic structures, linking it to Hrushovski's construction and suggesting a broader connection between model theory and complex geometry.

Contribution

It demonstrates a new construction of a non-Desarguesian projective plane using complex analytic methods and relates it to Hrushovski's model-theoretic construction.

Findings

Constructed a non-Desarguesian projective plane from complex analytic structures

Linked the construction to Hrushovski's model-theoretic framework

Supports the hypothesis of a connection between model-theoretic structures and complex geometry

Abstract

We construct a new non-desarguesian projective plane from a complex analytic structure. At the same time the construction can be explained in terms of so called Hrushovski's construction. This supports the hypothesis that in general structures produced by Hrushovski's construction have "prototypes" in complex geometry.