References
-
J. Ahn and Y. S. Shin. The Minimal Free Resolution of A Star-Configuration in
${\mathbb{P}}^n$ and The Weak-Lefschetz Property, J. of Korean Math. Soc. 49 (2012), no.2, 405-417. https://doi.org/10.4134/JKMS.2012.49.2.405 -
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, 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.
- 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
- T. Harima, Some examples of unimodal Gorenstein sequences, Journal of Pure and Applied Algebra, 103 (1995) 313-324. https://doi.org/10.1016/0022-4049(95)00109-A
- T. Harima, A note on Artinian Gorenstein algebras of codimension three, J. Pure Appl. Algebra, 135 (1999) 45-56. https://doi.org/10.1016/S0022-4049(97)00162-X
- T. Harima, T. Maeno, H. Morita, Y. Numata, A. Wachi, and J. Watanabe, The Lefschetz properties, Lecture Notes in Mathematics, 2080. Springer, Heidelberg, 2013.
- T. Harima, J. Migliore, U. Nagel, and J. Watanabe, The Weak and Strong Lefschetz Properties for Artinian K-Algebras, J. Algebra, 262 (2003), 99-126. https://doi.org/10.1016/S0021-8693(03)00038-3
- A. Iarrobino, P. M. Marques, and C. MaDaniel, Jordan type and the Associated graded algebra of an Artinian Gorenstein algebra, arXiv:1802.07383 (2018).
-
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. https://doi.org/10.1080/00927872.2015.1027373 - 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. https://doi.org/10.4134/JKMS.J170035
- J. Migliore, R. Miro-Roig, Ideals of general forms and the ubiquity of the Weak Lefschetz Property, J. Pure Appl. Algebra, 182 (2003), 79-107. https://doi.org/10.1016/S0022-4049(02)00314-6
-
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), 2124-2133. https://doi.org/10.1016/j.jpaa.2014.07.026 - Y. S. Shin, Secants to The Variety of Completely Reducible Forms and The Union of Star-Configurations, J. Algebra Appl. 11 (2012), 27 pages.
-
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 - J. Watanabe, The Dilworth number of Artinian rings and finite posets with rank function, Adv. Stud. Pure Math. 11 (1987), 303-312. https://doi.org/10.2969/aspm/01110303