Examples of Buchsbaum quasi-Gorenstein rings

Examples of Buchsbaum quasi-Gorenstein rings
HTML articles powered by AMS MathViewer

by Manfred Herrmann and Ngô Viet Trung PDF

Proc. Amer. Math. Soc. 117 (1993), 619-625 Request permission

The paper shows the existence of Buchsbaum quasi-Gorenstein rings of any admissible depth.

References

Henrik Bresinsky, Peter Schenzel, and Wolfgang Vogel, On liaison, arithmetical Buchsbaum curves and monomial curves in $\textbf {P}^{3}$, J. Algebra 86 (1984), no. 2, 283–301. MR 732252, DOI 10.1016/0021-8693(84)90034-6
Shiro Goto and Keiichi Watanabe, On graded rings. II. ($\textbf {Z}^{n}$-graded rings), Tokyo J. Math. 1 (1978), no. 2, 237–261. MR 519194, DOI 10.3836/tjm/1270216496

Die Wertehalbgruppe eines lokalen Rings der Dimension

M. Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. (2) 96 (1972), 318–337. MR 304376, DOI 10.2307/1970791
Craig Huneke and Bernd Ulrich, Divisor class groups and deformations, Amer. J. Math. 107 (1985), no. 6, 1265–1303 (1986). MR 815763, DOI 10.2307/2374407
C. Peskine and L. Szpiro, Liaison des variétés algébriques. I, Invent. Math. 26 (1974), 271–302 (French). MR 364271, DOI 10.1007/BF01425554
Uwe Schäfer and Peter Schenzel, Dualizing complexes of affine semigroup rings, Trans. Amer. Math. Soc. 322 (1990), no. 2, 561–582. MR 1076179, DOI 10.1090/S0002-9947-1990-1076179-6
Peter Schenzel, On Buchsbaum rings and their canonical modules, Seminar D. Eisenbud/B. Singh/W. Vogel, Vol. 1, Teubner-Texte zur Mathematik, vol. 29, Teubner, Leipzig, 1980, pp. 65–77. MR 610064
Peter Schenzel, A note on almost complete intersections, Seminar D. Eisenbud/B. Singh/W. Vogel, Vol. 2, Teubner-Texte zur Mathematik, vol. 48, Teubner, Leipzig, 1982, pp. 49–54. MR 686457
Richard P. Stanley, Hilbert functions of graded algebras, Advances in Math. 28 (1978), no. 1, 57–83. MR 485835, DOI 10.1016/0001-8708(78)90045-2
Ngô Việt Trung and Lê Tuấn Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials, Trans. Amer. Math. Soc. 298 (1986), no. 1, 145–167. MR 857437, DOI 10.1090/S0002-9947-1986-0857437-3