참고문헌
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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. https://doi.org/10.4134/JKMS.2012.49.2.405 -
J. Ahn and Y. S. Shin, The Minimal Free Resolution of a Fat Star-configuration in
$\mathbb{P}^n$ , Algebra Colloquium, to appear. - E. Arrondo and A. Bernardi, On the variety parametrizing completely decomposable polynomials, preprint. https://doi.org/10.1016/j.jpaa.2010.04.008
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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, An Alternative to the Hilbert function for the ideal of a finite set of points in
$\mathbb{P}^n$ , Illinois J. of Mathematics 45 (2001), no. 1, 1-23. - A. V. Geramita, T. Harima, and Y. S. Shin, Extremal point sets and Gorenstein ideals, Adv. Math. 152 (2000), no. 1, 78-119. https://doi.org/10.1006/aima.1998.1889
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A. V. Geramita, T. Harima, and Y. S. Shin, Decompositions in the Hilbert Function of a Set of Points in
$\mathbb{P}^n$ , Canadian J. of Math. 53 (2001), no. 5, 923-943. https://doi.org/10.4153/CJM-2001-037-3 -
A. V. Geramita, T. Harima, and Y. S. Shin, Some Special Configurations of Points in
$\mathbb{P}^n$ , J. Algebra 268 (2003), no. 2, 484-518. https://doi.org/10.1016/S0021-8693(03)00118-2 - A. V. Geramita, H. J. Ko, and Y. S. Shin, The Hilbert Function and The Minimal Free Resolution of Some Gorenstein Ideals of Codimension 4, Comm. in Algebra. 26 (1998), no. 12, 4285-4307. https://doi.org/10.1080/00927879808826411
- T. Harima, Characterization of Hilbert functions of Gorenstein Artin Algebras with the Weak Stanley property, Proc. Amer. Math. Soc. 123 (1995), 3631- 3638. https://doi.org/10.1090/S0002-9939-1995-1307527-7
- T. Harima, J. C. Migliore, U. Nagel, and J. Watanabe, The weak and strong Lefschetz properties for Artinian K-algebras, J. Algebra 262 (2003), no. 1, 99-126. https://doi.org/10.1016/S0021-8693(03)00038-3
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T. Harima and A. Wachi, Generic initial ideals, graded Betti numbers, and
$\kappa$ -Lefschetz properties, Comm. Algebra 37 (2009), no. 11, 4012-4025. https://doi.org/10.1080/00927870802502753 - T. Harima and J. Watanabe, The strong Lefschetz property for Artinian algebras with non-standard grading, J. Algebra 311 (2007), no. 2, 511-537. https://doi.org/10.1016/j.jalgebra.2007.01.019
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- J. C. Migliore and F. Zanello, The strength of the weak Lefschetz property, Illinois J. Math. 52 (2008), no. 4, 1417-1433.
- Y. S. Shin, Secants to The Variety of Completely Reducible Forms and The Union of Star-Configurations, Journal of Algebra and its Applications 11 (2012), no. 6, 1250109 (27 pages). https://doi.org/10.1142/S0219498812501095
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Y. S. Shin, Star-Configurations in
$\mathbb{P}^2$ Having Generic Hilbert Functions and The Weak-Lefschetz Property, Comm. in Algebra 40 (2012), 2226-2242. https://doi.org/10.1080/00927872.2012.656783 -
Y. S. Shin, On the Hilbert Function of the union of two linear star-configurations in
$\mathbb{P}^2$ , J. Chungcheong Math. Soc. 25 (2012), no. 3, 553-562. https://doi.org/10.14403/jcms.2012.25.3.553
피인용 문헌
- SOME APPLICATION OF THE UNION OF TWO 𝕜-CONFIGURATIONS IN ℙ2 vol.27, pp.3, 2014, https://doi.org/10.14403/jcms.2014.27.3.413
- THE ARTINIAN POINT STAR CONFIGURATION QUOTIENT AND THE STRONG LEFSCHETZ PROPERTY vol.56, pp.3, 2019, https://doi.org/10.4134/jkms.j180258