SOME EXAMPLES OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN P2 HAVING GENERIC HILBERT FUNCTION

Abstract

In [20] and [22], the author proved that the union of two linear star-configurations in P2 of type t × s with 3 ≤ t ≤ 10 and t ≤ s has generic Hilbert function. In this paper, we prove that the union of two linear star-configurations in P2 of type t × s with − 1 ≤ s has also generic Hilbert function. 3 ≤ t and

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