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The h-vector of a Gorenstein codimension three domain

Published online by Cambridge University Press:  22 January 2016

E. De Negri and
G. Valla
E. De Negri
Affiliation:
Dipartimento di Matematica, Università di Genova, Via L B. Alberti 4 16132 Genova, Italy
G. Valla
Affiliation:
Dipartimento di Matematica, Università di Genova, Via L B. Alberti 4 16132 Genova, Italy
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Let k be an infinite field and A a standard G-algebra. This means that there exists a positive integer n such that A = R/I where R is the polynomial ring R := k[Xv …, Xn] and I is an homogeneous ideal of R. Thus the additive group of A has a direct sum decomposition A = ⊕ At where AiAj ⊆ Ai+j . Hence, for every t ≥ 0, At is a finite-dimensional vector space over k. The Hilbert Function of A is defined by

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 138 , June 1995, pp. 113 - 140
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

[BE] Buchsbaum, D., Eisenbud, D., Algebra structures for finite free resolution and some structure theorems for ideals of codimension three, Amer. J. Math., 999 (1977), 447–485.Google Scholar
[GMR] Geramita, A. V., Maroscia, P., Roberts, L., The Hilbert Function of a reduced K-algebra, J. London Math. Soc, 28 (2), n. 3 (1983), 443–452.CrossRefGoogle Scholar
[GP] Gruson, L., Peskine, C., Genre des courbes de l’espace projectif, Algebraic Geometry, Lect. Notes Math., 687 (1978), Springer.Google Scholar
[HTV] Herzog, J., Trung, N. G., Valla, G., On hyperplane sections of reduced irreducible varieties of low codimension, (1992), J. Math. Kyoto Univ., 34–1 (1994), 47–72.Google Scholar
[M] Macaulay, F. S., Some property of enumeration in the theory of modular systems, Proc. London Math. Soc, 26 (1927), 531–555.Google Scholar
[S] Stanley, R. P. Hilbert Functions of graded algebras, Adv. in Math., 28 (1978), 57–83.Google Scholar