ABSTRACT
CARLA MASSAZA Dipartimento di Matematica, Politecnico di Torino, Italia, e.m. Massaza@polito.it
INTRODUCTION
This paper is strictly linked to a previous one,[l], in which properties of a projective, 0-dimensional, reduced scheme are studied by means of a "refinement" of its Hilbert function or, actually, of its first difference F ([2],[3]). The main tool, in this investigation, is a numerical sequence Mr ; rather surprisingly, the set of those MF'S, arising from all the possibles F 's, turns out to be in 1-1 correspondence with the set of the r-type vectors introduced in [4] for a different purpose; moreover, a sequence of numbers of interest in the description of Mr turns out to be a generalization, to higher dimension, of the sequence of numerical characters introduced in [5] for a 0-dimensional scheme in P2.
