One dimensional cohen-macaulay rings with maximal hilbert function
Titel:
One dimensional cohen-macaulay rings with maximal hilbert function
Auteur:
Brown, William C.
Verschenen in:
Communications in algebra
Paginering:
Jaargang 17 (1989) nr. 8 pagina's 1867-1883
Jaar:
1989
Inhoud:
Let [image omitted] denote e distinct points in [image omitted] . Here k denotes an algebraically and [image omitted] is projective r-space over k. Let R denote the coordinate ring of [image omitted] and let A be the localization of R at its irrelevant maximal ideal. A is a reduced, Cohen-Macaulay, local ring of dimension one and multiplicity e. we suppose r ≥ 2, and [image omitted] for some d ≥ 2. In a previous paper, the author showed that if [image omitted] are in uniform position in [image omitted] , then the Cohen-Macaulay type, t(A), of A is given by the following formula; [image omitted] . The local ring A is a typical example of a ring with maximal Hilbert function. In this paper, we discuss various results for t(A), when A is one dimensional, Cohen-Macaulay, local ring with maximal Hilbert function. In particular, we obtain a natural generalization of the above mentioned geometric result.
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