摘要
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].
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].