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Ordinary and symbolic powers are Golod by Herzog, Jürgen; Huneke, Craig is a scholarly article available to read on EtoBox.

What is Ordinary and symbolic powers are Golod about?

Let $S$ be a positively graded polynomial ring over a field of characteristic 0, and $I\subset S$ a proper graded ideal. In this note it is shown that $S/I$ is Golod if $\partial(I)^2\subset I$. Here $\partial(I)$ denotes the ideal generated by all the partial derivatives of elements of $I$. We apply this result to find large classes of Golod ideals, including powers, symbolic powers, and saturations of ideals.

Author

Herzog, Jürgen; Huneke, Craig

Published

2012

Language

EN