1996
DOI: 10.1007/bf02567964
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Resolutions of generic points lying on a smooth quadric

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Cited by 25 publications
(28 citation statements)
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“…In this situation there are several classifications. Giuffrida, Maggioni, and Ragusa [7], who helped to initiate the study of points in multiprojective spaces (see, for example [8,9,12,13,14,18,20,21,22] for more on these points), provided the first classification. They showed that ACM sets of points in P 1 × P 1 can be classified via their Hilbert functions.…”
Section: Introductionmentioning
confidence: 99%
“…In this situation there are several classifications. Giuffrida, Maggioni, and Ragusa [7], who helped to initiate the study of points in multiprojective spaces (see, for example [8,9,12,13,14,18,20,21,22] for more on these points), provided the first classification. They showed that ACM sets of points in P 1 × P 1 can be classified via their Hilbert functions.…”
Section: Introductionmentioning
confidence: 99%
“…When k = 1, v(s; n) equals the expected value for ν(I X ) as predicted by the ideal generation conjecture. Furthermore, using [9,10], we show that ν(I X ) = v(s; 1, 1) for a sufficiently general set of s points in P 1 × P 1 .…”
Section: Introductionmentioning
confidence: 89%
“…Farkas, Mustaţǎ, and Popa proved in [9] that if X ⊂ P n is a canonical curve, then the Minimal Resolution Conjecture holds for a set of general points of sufficiently large degree, and that it fails always if X is a curve of sufficiently large degree. The conjecture was shown to be true for any general set of points on a smooth quadric surface in P 3 by Guiffrida et al (see [11]). …”
Section: Introductionmentioning
confidence: 91%