The coordinate ring of a finite sets of points in (Formula Presented) is always a Cohen-Macaulay ring. However, the multigraded coordinate ring of a set of points in (Formula Presented), or more generally, a set of points in (Formula Presented), may fail to have this highly desirable property. This feature is one of the fundamental differences between sets of points in a single projective space and sets of points in a multiprojective space.
Classification of acm sets of points in (Formula Presented)
Guardo E.;Van Tuyl A.
2015-01-01
Abstract
The coordinate ring of a finite sets of points in (Formula Presented) is always a Cohen-Macaulay ring. However, the multigraded coordinate ring of a set of points in (Formula Presented), or more generally, a set of points in (Formula Presented), may fail to have this highly desirable property. This feature is one of the fundamental differences between sets of points in a single projective space and sets of points in a multiprojective space.File in questo prodotto:
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