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In [20] and [22], the author proved that the union of two linear star-configurations in of type with and has generic Hilbert function. In this paper, we prove that the union of two linear star-configurations in of type with and has also generic Hilbert function.

SOME EXAMPLES OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN ℙ2HAVING GENERIC HILBERT FUNCTION

SOME EXAMPLES OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN ℙ²HAVING GENERIC HILBERT FUNCTION