On the boundedness of the type of an almost Gorenstein monomial curve in $\mathbb{A}^5$

TL;DR

This paper proves that the Cohen-Macaulay type of almost Gorenstein monomial curves in five-dimensional affine space is bounded, contributing to the understanding of their algebraic properties.

Contribution

It establishes a boundedness result for the Cohen-Macaulay type of a specific class of algebraic curves, namely almost Gorenstein monomial curves in -dimensional space.

Findings

Cohen-Macaulay type of these curves is bounded.

Provides new insight into the structure of almost Gorenstein monomial curves.

Advances classification of algebraic curves based on their Cohen-Macaulay type.

Abstract

We prove that the Cohen-Macaulay type of an almost Gorenstein monomial curve $\mathcal{C} \subseteq \mathbb{A}^5$ is bounded.