References
- Boij, M., Conca, A. (2018). On the Fröberg-Macaulay conjectures for algebras. Rend. Istit. Mat. Univ. Trieste. 50:139–147.
- Brenti, F., Welker, V. (2009). The Veronese construction for formal power series and graded algebras. Adv. Appl. Math. 42(4):545–556. DOI: https://doi.org/10.1016/j.aam.2009.01.001.
- Conca, A. (1994). Symmetric ladders. Nagoya Math. J. 136:35–56. DOI: https://doi.org/10.1017/S0027763000024958.
- Corso, A., Nagel, U., Petrović, S., Yuen, C. (2017). Blow-up algebras, determinental ideals, and Dedekind-Mertens-like formulas. Forum Math. 29(4):799–830. DOI: https://doi.org/10.1515/forum-2016-0007.
- Negri, E. D. (1999). Toric rings generated by special stable sets of monomials. Math. Nachr. 203(1):31–45. DOI: https://doi.org/10.1002/mana.1999.3212030103.
- Galligo, A. (1979). Théorème de division et stabilité en géometrie analytique locale. Ann. Inst. Fourier (Grenoble). 29(2):107–184. DOI: https://doi.org/10.5802/aif.745.
- Goto, S., Watanabe, K. (1978). On graded rings I. J. Math. Soc. Japan. 30(2):179–213. DOI: https://doi.org/10.2969/jmsj/03020179.
- Herzog, J., Hibi, T. (2011). Monomial Ideals. Grad. Texts in Math, Vol. 260. London: Springer.
- Lella, P. (2012). An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme. In: ISSAC 2012—Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation. New York: ACM, pp. 242–248. DOI: https://doi.org/10.1145/2442829.2442865.
- Migliore, J., Nagel, U. (2013). Gorenstein algebras presented by quadrics. Collect. Math. 64(2):211–233. DOI: https://doi.org/10.1007/s13348-012-0076-x.
- Nicklasson, L. (2021). Subalgebras generated in degree two with minimal Hilbert function. Math. Scand. 127(1):5–27. DOI: https://doi.org/10.7146/math.scand.a-122603.
- Notari, R., Spreafico, M. L. (2000). A stratification of Hilbert schemes by initial ideals and applications. Manuscripta Math. 101(4):429–448. DOI: https://doi.org/10.1007/s002290050225.
- Proctor, R. A. (1983). Shifted plane partitions of trapezoidal shape. Proc. Amer. Math. Soc. 89(3):553–559. DOI: https://doi.org/10.1090/S0002-9939-1983-0715886-0.
- Stanley, R. (1978). Hilbert functions of graded algebras. Adv. Math. 28(1):57–83. DOI: https://doi.org/10.1016/0001-8708(78)90045-2.
- Stanley, R. (2011). Enumerative Combinatorics, Vol. 1, 2nd ed. Cambridge: Cambridge University Press.
- Stembridge, J. R. (1986). Trapezoidal chains and antichains. European J. Combin. 7(4):377–387. DOI: https://doi.org/10.1016/S0195-6698(86)80009-9.