Steps in the Classification of Cohen–Macaulay Modules Over Singularities of Type xt + y3

by Ene, Viviana; Popescu, Dorin

Let k be an algebraically closed field of characteristic ≠ 3 and i, j, t some positive integers such that 1 ≤ i < j < t, i + j ≠ t. Then there exist a finite number of nonisomorphic indecomposable maximal Cohen–Macaulay modules N over k[[x, y]] /(xt + y3) such that N / y N is a direct sum of copies of k[[x]] /(xi), k[[x]] /(xj) and we describe them completely.

DOI: 10.1023/A:1009942810682
Print publication date: 6/1/1999
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