The Cremona-Richmond Configuration revisited and generalized

TL;DR

This paper generalizes the classical Cremona-Richmond configuration to higher-dimensional projective spaces, presenting new geometric realizations of complex incidence structures.

Contribution

It introduces a novel generalization of the Cremona-Richmond configuration involving higher-dimensional subspaces in projective spaces.

Findings

New geometric realizations of generalized configurations

Extension of classical configurations to higher dimensions

Insights into abstract incidence structures

Abstract

We propose a generalization of the classical point-line Cremona-Richmond configuration to a configuration of points and more dimensional subspaces of a projective space, and present them as geometric realizations of some interesting abstract incidence structures.