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Perfect homogeneous polynomial ideals of height two, with standard basis of maximal cardinality
Realizable sequences linked to the Hilbert Function of a 0-dimensional projective scheme
Separating sequences of 0-dimensional schemes
In two previous papers, we defined, for every projective, 0-dimensional, reduced scheme X, a set of numerical sequences, which turns out to be a refinement of the Hilbert function of X. Here, we extend that definition to the case
of a scheme X not necessarily reduced; the aim is reached by replacing a point by its corresponding “separating ideal” in its coordinate ring. The numerical sequences are obtained by taking the degrees of the elements appearing in suitable
sequences of separating ideals. These latter sequences are themselves a good tool in the search for subschemes of X not in general position
Separating sequences of 0-dimensional schemes
Rapporto interno n.28, Dip. Mat. Pol. To,dicembre 200
GLOBAL STABILITY AND EXTERNAL STABILITY OF DYNAMICAL SYSTEMS
NONLINEAR ANALYSIS, THEORY, METHODS, APPLICATION
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