Deformations of maximal Cohen-Macaulay modules

Infinitesimal module deformations in the Thom-Sebastiani Problem

“…4). If A KxY yay 2 Y g f the matrix factorizations of f describe (by [7] (2.8) and also [8] (2.5.4)) the infinitesimal deformations of maximal Cohen-Macaulay R-modules in a similar way.…”

Rank One Maximal Cohen-Macaulay Modules Over Singularities of Type Y 1 3 + Y 2 3 + Y 3 3 + Y 4 3

“…A different approach was used by Cipu, Herzog and Popescu in [7] to describe generalized Cohen-Macaulay modules (see also [5] or [8]). A powerful method seems to be also the lifting theory in the sense of Auslander-Ding-Solberg [2], which was used in [18] in order to complete Knörrer Periodicity Theorem [15] in char p > 0 (see also [19], [6]). …”