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Growth of Betti numbers of modules over local rings of small embedding codimension or small linkage number

✍ Scribed by Li-Chuan Sun

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 787 KB
Volume: 96
Category: Article
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90087-6

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Let R, m, K be a regular local ring of dimension n and let M be a finite length module over R. This paper gives an affirmative answer to Horrocks' questions when m 2 M s 0, that is, in this case the rank of the ith syzygy of M is at and the ith Betti number of M is at least .