The homotopy type of the complement of the codimension-two coordinate subspace arrangement

TL;DR

This paper proves that the complement of a codimension-two complex coordinate subspace arrangement has a homotopy type equivalent to a wedge of spheres, revealing its topological structure.

Contribution

It establishes the homotopy equivalence of the complement to a wedge of spheres, providing new insights into the topology of such arrangements.

Findings

Complement is homotopy equivalent to a wedge of spheres

Provides a topological classification of the arrangement's complement

Advances understanding of complex coordinate subspace arrangements

Abstract

The complement of the codimension 2 complex coordinate subspace arrangement is shown to be homotopy equivalent to a wedge of spheres.