INFINITESIMAL MODULE DEFORMATIONS IN THE THOM-SEBASTIANI PROBLEM

Let S be the formal power series ring over a field of characteristic n ot equal 3 in element from the maximal ideal of S, R=S/f, R' = S[[Y]]/ (f + Y-3), (R) over tilde = R[Y]/(Y-2). There exist an ''almost biject ion'' between the indecomposable maximal Cohen-Macaulay R'-modules and a certain class of (R) over tilde-modules In particular, if n = 1 we describe the maximal Cohen-Macaulay R'-modules N such that N/YN = P-d, p being an indecomposable finite R-module.