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- W1680881010 abstract "When M is a finitely generated graded module over a standard graded algebra S and I is an ideal of S, it is known from work of Cutkosky, Herzog, Kodiyalam, Romer, Trung and Wang that the Castelnuovo-Mumford regularity of I^mM has the form dm+e when m >> 0. We give an explicit bound on the m$for which this is true, under the hypotheses that I is generated in a single degree and M/IM has finite length, and we explore the phenomena that occur when these hypotheses are not satisfied. Finally, we prove a regularity bound for a reduced, equidimensional projective scheme of codimension 2 that is similar to the bound in the Eisenbud-Goto conjecture [1984], under the additional hypotheses that the scheme lies on a quadric and has nice singularities." @default.
- W1680881010 created "2016-06-24" @default.
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- W1680881010 date "2010-12-04" @default.
- W1680881010 modified "2023-09-27" @default.
- W1680881010 title "Stabilization of the Regularity of Powers of An Ideal" @default.
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