Makar-Limanov invariants of nonnormal affine toric varieties

TL;DR

This paper establishes the equality of two invariants, the Makar-Limanov and modified Makar-Limanov, for nonnormal affine toric varieties and provides a combinatorial description of these invariants.

Contribution

It extends the understanding of Makar-Limanov invariants to nonnormal affine toric varieties and offers a combinatorial framework for their description.

Findings

Proves the equality of Makar-Limanov and modified Makar-Limanov invariants for nonnormal affine toric varieties.

Provides a combinatorial description of these invariants.

Enhances the theoretical understanding of invariants in algebraic geometry.

Abstract

We prove the equality of the Makar-Limanov invariant and the modified Makar-Limanov invariant in the case of not necessary normal affine toric varieties. Also we give a combinatorial description of these invariants.