A Hilbert scheme of radius two

TL;DR

This paper presents an explicit example of a Hilbert scheme with a specific geometric property, namely having an incidence graph of radius two, contributing to the understanding of Hilbert schemes' structure.

Contribution

It provides a concrete example of a Hilbert scheme with a particular incidence graph radius, advancing the study of geometric properties of Hilbert schemes.

Findings

Explicit example of a Hilbert scheme with radius two incidence graph

Insights into the structure of Hilbert schemes

Potential implications for algebraic geometry

Abstract

We give an explicit example of a Hilbert scheme whose incidence graph has radius two.