Postulation of general unions of lines and decorated lines


A +line A \subset \mathbb {P}^r , r \geq 3 , is the scheme A = L \cup v with L a line and v a tangent vector of \mathbb {P}^r supported by a point of L, but not tangent to L. Here we prove that a general disjoint union of lines and +lines has the expected Hilbert function.

DOI Code: 10.1285/i15900932v35n1p1

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

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