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

Abstract

ABSTRACT. We describe, by matrix factorizations, the rank one graded maximal CohenMacaulay modules over the hypersurface Y 3 1 +Y 3 2 +Y 3 3 +Y 3 4 .

Rank 2 Cohen–Macaulay modules over singularities of type x13+x23+x33+x43Baciu1, Ene2, Pfister3 et al. 2005Journal of Algebra2000View full textAdd to dashboardCite

“…Theorem 2 [EP,(3.4)]. Let (a, b, c, ε), Coker ϑ(a, b, c) | ε 3 = 1, ε = 1 and (a, b, c) is a permutation of the roots of − 1 .…”