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arXiv · 2106.11648

On the effective reduction of an ideal

Tomasz Rodak·Adam Różycki·Stanisław Spodzieja
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Abstract

It is well known that in the Noetherian local ring with infinite residue field the reduction of $\mm$-primary ideal may be given in the form of a sufficiently general linear combination of its generators. In the paper we give a condition for the existence of such reduction in terms of the sum of degrees of the ideal fiber cone prime divisors in the case of any Noetherian local ring.

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Tomasz Rodak, Adam Różycki, Stanisław Spodzieja. 2021-06-22. On the effective reduction of an ideal. https://arxiv.org/abs/2106.11648

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