Computation of Betti numbers of monomial ideals associated with cyclic polytopes

Discrete and Computational Geometry

Volumn 15, Issue 3, 1996, Pages 287-295

  Terai, N ^a   Hibi, T ^b  

^a NAGANO NATIONAL COLLEGE OF TECHNOLOGY   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030530355     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02711496     Document Type: Article

References (17)

1. K. Baclawski, Cohen-Macaulay connectivity and geometric lattices, European J. Combin. 3 (1982), 293-305.
2. L. J. Billera and C. W. Lee, A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes, J. Combin. Theory Ser. A 31 (1981), 237-255.
3. A. Brøndsted, An Introduction to Convex Polytopes, Springer-Verlag, New York, 1982.
4. W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge University Press, Cambridge, 1993.
5. W. Bruns and T. Hibi. Cohen-Macaulay partially ordered sets with pure resolutions, Preprint, October, 1993.
6. W. Bruns and T. Hibi, Stanley-Reisner rings with pure resolutions, Comm. Algebra 23 (1995), 1201-1217.
7. T. Hibi, Algebraic Combinatorics on Convex Polytopes. Carslaw, Glebe, N.S.W., 1992.
8. T. Hibi, Cohen-Macaulay types of Cohen-Macaulay complexes, J. Algebra 168 (1994), 780-797.
9. T. Hibi, Canonical modules and Cohen-Macaulay types of partially ordered sets, Adv. in Math. 106 (1994), 118-121.
10. T. Hibi, Buchsbaum complexes with linear resolutions, J. Algebra, to appear.
11. M. Hochster, Cohen-Macaulay rings, combinatorics, and simplicial complexes, in Ring Theory II (B. R, McDonald and R. Morris, eds.), Lecture Notes in Pure and Applied Mathematics, No. 26, Dekker, New York, 1977, pp. 171-223.
12. J. Munkres, Topological results in combinatorics, Michigan Math. J. 31 (1984), 113-128.
13. P. Schenzel, Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe, J. Algebra 64 (1980), 93-101.
14. R. P. Stanley, Combinatorics and Commutative Algebra, Birkhäuser, Boston, 1983.
15. N. Terai and T. Hibi, Stanley-Reisner rings whose Betti numbers are independent of the base field, Discrete Math., to appear.
16. N. Terai and T. Hibi, Alexander duality theorem and second Betti numbers of Stanley-Reisner rings. Adv. in Math., to appear.
17. N. Terai and T. Hibi, Computation of Betti numbers of monomial ideals associated with stacked polytopes, Preprint, January, 1995.