Postulation of general unions of lines and multiplicity two points in \mathbb {P}^r, r \leq 5


We determine the Hilbert function of general unions in \mathbb {P}^r , r = 4; 5, of prescribed numbers of lines and fat 2-points. We only have partial results in\mathbb {P}^3 (also if we add a few general reducible conics).

DOI Code: 10.1285/i15900932v35n1p23

Keywords: postulation; Hilbert function; lines; zero-dimensional schemes; fat points

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