An algorithm for the normal bundle of rational monomial curves

TL;DR

This paper presents an algorithm that computes the splitting type of the normal bundle for rational monomial curves by transforming the problem into a combinatorial one and solving it.

Contribution

It introduces a novel combinatorial approach to determine the normal bundle's splitting type for rational monomial curves.

Findings

Algorithm effectively computes splitting types

Reduces calculus to combinatorial problem

Solves the problem explicitly

Abstract

We give an algorithm for calculating the splitting type of the normal bundle of any rational monomial curve. The algorithm is obtained by reducing the calculus to a combinatorial problem and then by solving this problem.