A singular variety associated to the smallest degree Pinchuk map

TL;DR

This paper investigates the geometric properties at infinity of the smallest degree Pinchuk map by describing an associated singular variety and computing its intersection homology.

Contribution

It introduces a specific singular variety linked to the smallest degree Pinchuk map and calculates its intersection homology, revealing geometric insights.

Findings

Describes the singular variety associated with the Pinchuk map.

Calculates the intersection homology of this variety.

Provides new understanding of the map's geometry at infinity.

Abstract

We describe a singular variety associated to the smallest degree Pinchuk map and calculate its intersection homology. The result describes the geometry at infinity of the Pinchuk's map.