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J. Ahn and Y. S. Shin, The minimal free resolution of a star-configuration in and the weak Lefschetz property, J. Korean Math. Soc. 49 (2012), no. 2, 405-417.
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C. Bocci and B. Harbourne, Comparing powers and symbolic powers of ideals, J. Algebraic Geom. 19 (2010), no. 3, 399-417.
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C. Bocci and B. Harbourne, The resurgence of ideals of points and the containment problem, Proc. Amer. Math. Soc. 138 (2010), no. 4, 1175-1190.
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M. V. Catalisano, A. V. Geramita, A. Gimigliano, B. Habourne, J. Migliore, U. Nagel, and Y. S. Shin, Secant varieties to the varieties of reducible hypersurfaces in , J. Algebra, submitted.
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A. V. Geramita, B. Harbourne, J. Migliore, and U. Nagel, Matroid configurations and symbolic powers of their ideals, Trans. Amer. Math. Soc. 369 (2017), no. 10, 7049-7066.
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M. V. Catalisano, A. V. Geramita, A. Gimigliano, and Y. S. Shin, The secant line variety to the varieties of reducible plane curves, Ann. Mat. Pura Appl. (4) 195 (2016), no. 2, 423-443.
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F. Galetto, Y. S. Shin, and A. Van Tuyl, Distinguishing -configurations, Illinois J. Math. 61 (2017), no. 3-4, 415-441.
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A. V. Geramita, B. Harbourne, and J. Migliore, Star configurations in , J. Algebra 376 (2013), 279-299.
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A. V. Geramita, T. Harima, J. C. Migliore, and Y. S. Shin, The Hilbert function of a level algebra, Mem. Amer. Math. Soc. 186 (2007), no. 872, vi+139 pp.
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A. V. Geramita, T. Harima, and Y. S. Shin, Extremal point sets and Gorenstein ideals, Adv. Math. 152 (2000), no. 1, 78-119.
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A. V. Geramita, T. Harima, and Y. S. Shin, An alternative to the Hilbert function for the ideal of a finite set of points in , Illinois J. Math. 45 (2001), no. 1, 1-23.
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E. Carlini, E. Guardo, and A. Van Tuyl, Star configurations on generic hypersurfaces, J. Algebra 407 (2014), 1-20.
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A. V. Geramita, T. Harima, and Y. S. Shin, Decompositions of the Hilbert function of a set of points in , Canad. J. Math. 53 (2001), no. 5, 923-943.
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T. Harima, T. Maeno, H. Morita, Y. Numata, A.Wachi, and J.Watanabe, The Lefschetz properties, Lecture Notes in Mathematics, 2080, Springer, Heidelberg, 2013.
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A. V. Geramita, T. Harima, and Y. S. Shin, Some special configurations of points in , J. Algebra 268 (2003), no. 2, 484-518.
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A. V. Geramita, P. Maroscia, and L. G. Roberts, The Hilbert function of a reduced k-algebra, J. London Math. Soc. (2) 28 (1983), no. 3, 443-452.
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A. V. Geramita, J. Migliore, and L. Sabourin, On the first infinitesimal neighborhood of a linear configuration of points in , J. Algebra 298 (2006), no. 2, 563-611.
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A. V. Geramita and Y. S. Shin, k-configurations in all have extremal resolutions, J. Algebra 213 (1999), no. 1, 351-368.
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T. Harima, Some examples of unimodal Gorenstein sequences, J. Pure Appl. Algebra 103 (1995), no. 3, 313-324.
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T. Harima, J. Migliore, U. Nagel, and J. Watanabe, The weak and strong Lefschetz properties for Artinian K-algebras, J. Algebra 262 (2003), no. 1, 99-126.
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A. Iarrobino, P. M. Marques, and C. MaDaniel, Jordan type and the Associated graded algebra of an Artinian Gorenstein algebra, arXiv:1802.07383 (2018).
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Y. R. Kim and Y. S. Shin, Star-configurations in and the weak-Lefschetz property, Comm. Algebra 44 (2016), no. 9, 3853-3873.
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Y. R. Kim and Y. S. Shin, An Artinian point-configuration quotient and the strong Lefschetz property, J. Korean Math. Soc. 55 (2018), no. 4, 763-783.
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J. Migliore and R. M. Miro-Roig, Ideals of general forms and the ubiquity of the weak Lefschetz property, J. Pure Appl. Algebra 182 (2003), no. 1, 79-107.
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Y. S. Shin, Star-configurations in having generic Hilbert function and the weak Lefschetz property, Comm. Algebra 40 (2012), no. 6, 2226-2242.
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J. P. Park and Y. S. Shin, The minimal free graded resolution of a star-configuration in , J. Pure Appl. Algebra 219 (2015), no. 6, 2124-2133.
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L. G. Roberts and M. Roitman, On Hilbert functions of reduced and of integral algebras, J. Pure Appl. Algebra 56 (1989), no. 1, 85-104.
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Y. S. Shin, Secants to the variety of completely reducible forms and the Hilbert function of the union of star-configurations, J. Algebra Appl. 11 (2012), no. 6, 1250109, 27 pp.
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Y. S. Shin, Some examples of the union of two linear star-configurations in having generic Hilbert function, J. Chungcheong Math. Soc. 26 (2013), no. 2, 403-409.
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A. Terracini, Sulle per cui la varieta degli (h + 1)-seganti ha dimensione minore dell'ordinario, Rend. Circ. Mat. Palermo 31 (1911), 392-396.
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J. Migliore and U. Nagel, Survey article: a tour of the weak and strong Lefschetz properties, J. Commut. Algebra 5 (2013), no. 3, 329-358.
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