참고문헌 (22)

1. J. Ahn and Y. S. Shin, The minimal free resolution of a star-configuration in ${\mathbb{P}^n}$ and the weak Lefschetz property, J. Korean Math. Soc. 49 (2012), no. 2, 405-417. 

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2. E. Carlini, E. Guardo, and A. Van Tuyl, Star configurations on generic hypersurfaces, J. Algebra 407 (2014), 1-20. 

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3. E. Carlini and A. Van Tuyl, Star configuration points and generic plane curves, Proc. Amer. Math. Soc. 139 (2011), no. 12, 4181-4192. 

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4. 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 ${\mathbb{P}^n}$ , J. of Alg. Geo. submitted. 

5. 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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6. A. V. Geramita, B. Harbourne, and J. Migliore, Star configurations in ${\mathbb{P}^n}$ , J. Algebra 376 (2013), 279-299. 

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7. A. V. Geramita, B. Harbourne, J. C. Migliore, and U. Nagel, Matroid configurations and symbolic powers of their ideals, In preparation. 

8. 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. 

9. 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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10. A. V. Geramita, J. Migliore, and L. Sabourin, On the first infinitesimal neighborhood of a linear configuration of points in ${\mathbb{P}^2}$ , J. Algebra 298 (2006), no. 2, 563-611. 

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11. A. V. Geramita and Y. S. Shin, k-configurations in ${\mathbb{P}^3}$ all have extremal resolutions, J. Algebra 213 (1999), no. 1, 351-368. 

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12. T. Harima, Some examples of unimodal Gorenstein sequences, J. Pure Appl. Algebra 103 (1995), no. 3, 313-324. 

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13. T. Harima, T. Maeno, H. Morita, Y. Numata, A.Wachi, and J.Watanabe, The Lefschetz Properties, Lecture Notes in Mathematics, 2080, Springer, Heidelberg, 2013. 

14. 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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15. Y. R. Kim and Y. S. Shin, Star-configurations in ${\mathbb{P}^n}$ and the weak-Lefschetz property, Comm. Algebra 44 (2016), no. 9, 3853-3873. 

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16. J. Migliore and R. 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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17. J. Migliore and R. Miro-Roig, On the strong Lefschetz problem for uniform powers of general linear forms in k[x, y, z], Proc. Amer. Math. Soc. 146 (2018), no. 2, 507-523. 

18. 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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19. J. P. Park and Y. S. Shin, The minimal free graded resolution of a star-configuration in ${\mathbb{P}^n}$ , J. Pure Appl. Algebra 219 (2015), no. 6, 2124-2133. 

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20. 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. 

21. Y. S. Shin, Star-configurations in ${\mathbb{P}^2}$ having generic Hilbert function and the weak Lefschetz property, Comm. Algebra 40 (2012), no. 6, 2226-2242. 

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22. Y. S. Shin, Some application of the union of two ${\mathbb{k}}$ -configurations in ${\mathbb{P}^2}$ , J. of Chungcheong Math. Soc. 27 (2014), no. 3, 413-418. 

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