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• W3087214147 abstract "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." @default.
• W3087214147 created "2020-09-25" @default.
• W3087214147 creator A5017287962 @default.
• W3087214147 creator A5019956028 @default.
• W3087214147 date "2020-09-15" @default.
• W3087214147 modified "2023-09-27" @default.
• W3087214147 title "Equigenerated ideals of analytic deviation one" @default.
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