We find the minimal free graded resolution of the ideal of a star-configuration in P-n of type (r, s) defined by general forms in R = k[x(0), x(1), ..., x(n)]. This generalises the result of Ahn and Shin from a specific value of r = 2 to any value of 1 <= r <= min{n, s}, and that of Geramita, Harbourne, and Migliore from a linear star-configuration in P-n to a star-configuration in P-n. Moreover, we show that any star-configuration in P-n is arithmetically Cohen-Macaulay. (C) 2014 Elsevier B.V. All rights reserved.
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机译：我们在R = k [x（0），x（1），...，x（n）中找到由一般形式定义的类型（r，s）的Pn中星形构型的理想理想的最小自由渐变分辨率）]。这将Ahn和Shin的结果从r = 2的特定值推广到1 <= r <= min {n，s}的任何值，并将Geramita，Harbourne和Migliore的结果归因于Pn中的线性星型到Pn中的星形配置。而且，我们证明P-n中的任何恒星构型在算术上都是Cohen-Macaulay。 （C）2014 Elsevier B.V.保留所有权利。
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