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AUTHOR Shin, Yong-Su
TITLE A GRADED MINIMAL FREE RESOLUTION OF THE m-TH ORDER SYMBOLIC POWER OF A STAR CONFIGURATION IN P-n
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JOURNAL JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2021
ABSTRACT In [30] the author finds a graded minimal free resolution of the 2-nd order symbolic power of a star configuration in P-n of any codimension r. In this paper, we find that of any m-th order symbolic power of a star configuration in P-n of codimension 2, which generalizes the result of Galetto, Geramita, Shin, and Van Tuyl in [15, Theorem 5.3]. Furthermore, we extend it to the m-th order symbolic power of a star configuration in P-n of any codimension r for m = 3; 4, which also generalizes the result of Biermann et al. in [1, Corollaries 4.6 and 5.7]. We also suggest how to find a graded minimal free resolution of the m-th order symbolic power of a star configuration in Pn of any codimension r for m >= 5.
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