On Cohen-Macaulay modules over the plane curve singularity of type T_44

TL;DR

This paper explicitly describes matrix factorizations for Cohen-Macaulay modules over the T_44 plane curve singularity, utilizing matrix problem techniques and representations of bunches of chains.

Contribution

It provides explicit matrix factorizations for a broad class of Cohen-Macaulay modules over the T_44 singularity, advancing understanding of their structure.

Findings

Explicit matrix factorizations for Cohen-Macaulay modules over T_44

Application of matrix problem techniques and bunches of chains

Enhanced classification of modules over this singularity

Abstract

For a wide class of Cohen--Macaulay modules over the local ring of the plane curve singularity of type T_44 we explicitly describe the corresponding matrix factorizations. The calculations are based on the technique of matrix problems, in particular, representations of bunches of chains.