arXiv subjects

Oleksii Tovpyha

Publications and source records attributed to Oleksii Tovpyha.

2 recordsLinked to original sources

arXiv2020

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

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.

math.AC↗

arXiv2013

Graded Cohen-Macaulay rings of wild Cohen-Macaulay type

We give suffcient conditions for a standard graded Cohen-Macaulay ring, or equivalently, an arithmetically Cohen-Macaulay projective variety, to be Cohen-Macaulay wild in the sense of representation theory. In particular, these conditions are applied to hypersurfaces and complete intersections.

math.AG↗