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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

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

References

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