论文标题
分析偏差的理想一个
Equigenerated ideals of analytic deviation one
论文作者
论文摘要
总体目标是接近特殊纤维$ \ Mathcal {f}（i）的cohen-macaulay属性，在无限领域的标准分级环中，均质均质的理想$ i $ $。当假定地面环是局部的时，对受试者进行了广泛的研究。在这里，重点是分级情况，一个介绍了两种技术条件，分别称为{\ em分析性紧密度}和{\ em分析调整}，以便接近$ \ MATHCAL {f}（f}（i）$的cohen--macaulness。如果$ i $加上分析偏差，这是几位作者所研究的情况，从本质上讲，这是第三维的唯一有趣的情况。自然，在这种情况下，本文有一些应用。
The overall goal is to approach the Cohen--Macaulay property of the special fiber $\mathcal{F}(I)$ of an equigenerated homogeneous ideal $I$ in a standard graded ring over an infinite field. When the ground ring is assumed to be local, the subject has been extensively looked at. Here, with a focus on the graded situation, one introduces two technical conditions, called respectively, {\em analytical tightness} and {\em analytical adjustment}, in order to approach the Cohen--Macaulayness of $\mathcal{F}(I)$. A degree of success is obtained in the case where $I$ in addition has analytic deviation one, a situation looked at by several authors, being essentially the only interesting one in dimension three. Naturally, the paper has some applications in this case.
