Socle degrees, resolutions, and Frobenius powers

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• 作者：Andrew R. Kustin ; Bernd Ulrich
• 关键词：Alternating map ; Canonical module ; Frobenius power ; Grade three Gorenstein ideal ; Hypersurface ring ; Maximal Cohen– ; Macaulay module ; Second syzygy module ; Socle degrees
• 刊名：Journal of Algebra
• 出版年：2009
• 出版时间：1 July 2009
• 年：2009
• 卷：322
• 期：1
• 页码：25-41
• 全文大小：230 K

文摘

We first describe a situation in which every graded Betti number in the tail of the resolution of may be read from the socle degrees of . Then we apply the above result to the ideals J and J^[q]; and thereby describe a situation in which the graded Betti numbers in the tail of the resolution of R/J^[q] are equal to the graded Betti numbers in the tail of a shift of the resolution of R/J.