References
- Aramova, A., Herzog, J., Hibi, T. (1998). Squarefree lexsegment ideals. Math. Z. 228(2):353–378. DOI: 10.1007/PL00004621.
- Bigatti, A. M. (1993). Upper bounds for the Betti numbers of a given Hilbert function. Commun. Algebra 21(7):2317–2334.
- Geramita, A. V., Harima, T., Shin, Y. S. (2000). Extremal point sets and Gorenstein Ideals. Adv. Math. 152(1):78–119. DOI: 10.1006/aima.1998.1889.
- Harima, T. (1995). Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property. Proc. Amer. Math. Soc. 123(12):3631–3638. DOI: 10.1090/S0002-9939-1995-1307527-7.
- Harima, T., Migliore, J. C., Nagel, U., Watanabe, J. (2003). The weak and strong Lefschetz properties for Artinian K-algebras. J. Algebra 262(1):99–126. DOI: 10.1016/S0021-8693(03)00038-3.
- Herzog, J., Hibi, T. (2011). Monomial Ideals, volume 260 of Graduate Texts in Mathematics. London: Springer-Verlag.
- Hulett, H. (1993). Maximum Betti numbers of homogeneous ideals with a given Hilbert function. Commun. Algebra 21(7):2335–2350. DOI: 10.1080/00927879308824680.
- Mermin, J., Murai, S. (2011). The lex-plus-powers conjecture holds for pure powers. Adv. Math. 226(4):3511–3539. DOI: 10.1016/j.aim.2010.08.022.
- Migliore, J., Nagel, U. (2003). Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers. Adv. Math. 180(1):1–63. DOI: 10.1016/S0001-8708(02)00079-8.
- Pardue, K. (1996). Deformation classes of graded modules and maximal Betti numbers. Illinois J. Math. 40(4): 564–585. DOI: 10.1215/ijm/1255985937.
- Peskine, C., Szpiro, L. (1974). Liaison des variétés algébriques. I. Invent. Math. 26:271–302. DOI: 10.1007/BF01425554.
- Stanley, R. P. (1996). Combinatorics and Commutative Algebra, 2nd ed., volume 41 of Progress in Mathematics. Boston, MA: Birkhäuser.