Minimal Graded Betti Numbers and Stable Ideals

نویسنده

  • Christopher A. Francisco
چکیده

Let k be a field, and let R = k[x1, x2, x3]. Given a Hilbert function H for a cyclic module over R, we give an algorithm to produce a stable ideal I such that R/I has Hilbert function H and uniquely minimal graded Betti numbers among all R/J with the same Hilbert function, where J is another stable ideal in R. We also show that such an algorithm is impossible in more variables and disprove a related conjecture Deery makes in

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تاریخ انتشار 2002