Abstract. We find the Hilbert function and the minimal free resolution of a star-configuration in P n . The conditions are provided under which the Hilbert function of a star-configuration in P 2 is generic or non-generic. We also prove that if X and Y are linear star-configurations in P 2 of types t and s, respectively, with s ≥ t ≥ 3, then the Artinian k-algebra R/(I X + I Y ) has the weak Lefschetz property.
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