Stability of depths of symbolic powers of Stanley-Reisner ideals

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• 作者：Le Tuan Hoa^a ; ^{lthoa@math.ac.vn} ; Kyouko Kimura^b ; ^{kimura.kyoko.a@shizuoka.ac.jp} ; Naoki Terai^c ; ^{terai@cc.saga-u.ac.jp} ; Tran Nam Trung^a ; ^{tntrung@math.ac.vn}
• 关键词：13D45 ; 05C90 ; 05E40 ; 05E45
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：473
• 期：Complete
• 页码：307-323
• 全文大小：376 K
• 卷排序：473

文摘

We give a bound for n0(I)n0(I) from which the depth function depthR/I(n) of the quotient ring by symbolic powers of a squarefree monomial ideal I   stabilizes. In the unmixed codimension two case we show that depthR/I(n) is a non-increasing function of n   and use this property to provide a sharp bound for n0(I)n0(I).