On the monodromy at infinity of a polynomial map, II

TL;DR

This paper investigates the complex algebraic monodromy at infinity for a specific class of polynomial maps, revealing detailed behavior that sheds light on the general problem of polynomial map behavior at infinity.

Contribution

It provides a complete determination of the monodromy at infinity for a particular class of polynomial maps, advancing understanding of their asymptotic properties.

Findings

Explicit description of monodromy at infinity for the class

Insights into the complexity of polynomial map behavior at infinity

Foundation for analyzing more general polynomial maps

Abstract

In the last years a lot of work has been concentrated on the study of the behaviour at infinity of polynomial maps. This behaviour can be very complicated, therefore the main idea was to find special classes of polynomial maps which have, in some sense, nice properties at infinity. In this paper, we completely determine the complex algebraic monodromy at infinity for a special class of polynomial maps (which is complicated enough to show the nature of the general problem).