Configurations related to combinatorial Veronesians representing a skew perspective

TL;DR

This paper develops a theory of configurations generalizing perspectives in combinatorial Veronesians, leading to a complete classification of certain skew perspective configurations.

Contribution

It introduces a generalized framework for configurations related to combinatorial Veronesians and provides a full classification of specific skew perspective configurations.

Findings

Developed a theory of skew perspective configurations.

Classified all configurations of type (15_4 20_3).

Extended understanding of combinatorial perspectives.

Abstract

A combinatorial object representing schemas of, possibly skew, perspectives, called {\em a configuration of skew perspective} has been defined in \cite{klik:binom}, \cite{maszko}. Here we develop the theory of configurations generalizing perspectives defined in combinatorial Veronesians. The complete classification of thus obtained $({15}_4 {20}_3)$-configurations is presented.