RESEARCH ARTICLE

Cohen–Macaulay modules over the plane curve singularity of type $T_{36}$

Yuriy A. Drozd, Oleksii Tovpyha

Institute of Mathematics, National Academy of Sciences, 01601 Kyiv, Ukraine

Abstract: For a wide class of Cohen–Macaulay modules over the local ring of the plane curve singularity of type $T_{36}$ we describe explicitly the corresponding matrix factorizations. The calculations are based on the technique of matrix problems, in particular, representations of bunches of chains.

Keywords: Cohen–Macaulay modules, matrix factorizations, bimodule problems, bunches of chains.

MSC: 13C14, 14H20

Received: 07.09.2019

Language: English