NON-COMPENSATION OF LOCAL CONTRIBUTIONS F OR MAXIMAL ASYMPTOTIC CURRENTS

In the present work we begin by determining the currents of the asympt otic expansions, when s tends to 0, of functions obtained by integrati on on a normal crossings divisor {f = s}. This allows us to give a bas is of the asymptotic expansions module in this case. Then, using Hiron aka's resolution of singularities, we obtain, for any hypersurface sin gularity, a result of noncompensation of local contributions for the m aximal asymptotic currents.