ANALYTIC SPREAD OF FILTRATIONS ON TWO-DIMENSIONAL NORMAL LOCAL RINGS

Abstract In this paper, we prove that a classical theorem by McAdam about the analytic spread of an ideal in Noetherian local ring continues to be true for divisorial filtrations on two-dimensional normal excellent R , and Hilbert polynomial fiber cone filtration has function which is sum linear bounded function. We these theorems first studying asymptotic properties divisors resolution singularities spectrum . The symbolic powers example filtration. Divisorial are often not Noetherian, giving significant difference case ideals filtrations.