论文标题

对数凸孔戈伦斯坦序列

Log-concave Gorenstein sequences

论文作者

Iarrobino, Anthony

论文摘要

我们在这里表明,编辑三个Artinian Gorenstein序列是对数洞穴的,并且有四个不是对数concave的编码iMimension。我们还表明,编辑二的所有级别序列,并且在任何编码中,每个压缩级别的hilbert函数都是对数concave。

We show here that codimension three Artinian Gorenstein sequences are log-concave, and that there are codimension four Artinian Gorenstein sequences that are not log-concave. We also show that all level sequences in codimension two, and every compressed level Hilbert function in any codimension is log-concave.

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