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Monomial ideals and points in projective space. (English) Zbl 0586.13015
Author’s summary: ”Let \(A=k[X_ 0,...,X_ n]/I\) be the homogeneous co- ordinate ring of s points in generic position in \({\mathbb{P}}^ n\). The first and third authors have formulated natural conjectures for the number of generators of I, and for the Cohen-Macaulay type of A. In this paper we give a simple new proof of the conjectures for \(n=2\) (all s), and prove that the conjectures hold for ’most’ s if \(n\geq 3.''\)
Reviewer: I.G.Macdonald

MSC:
13E99 Chain conditions, finiteness conditions in commutative ring theory
14A05 Relevant commutative algebra
14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
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