Abstract
We find the minimal free resolution of a fat star-configuration 𝕏 in ℙn of type (r,s,t) defined by general forms of degrees d1, …, dr, and show that a fat linear star-configuration 𝕏 in ℙ2 never has generic Hilbert function if (s,t) ≠ (1,1) or (2,2). These two results generalize the interesting results of [2].
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