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On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring

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arxiv 1904.07484 v1 pith:ONEX2B2V submitted 2019-04-16 math.AC

Dinh Thanh Trung This is my paper · ORCID
classification math.AC
keywords algebraalgorithmscastelnuovo-mumfordcomputationfiberreesregularityring
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abstract

We present algorithms for the computation of the Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring of equigenerated $\mm$-primary ideals in two variables. Applying these algorithms, we find a counter-example to a conjecture of Eisenbud and Ulrich which states that these regularities are equal.

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  1. Powers of monomial ideals and the Ratliff-Rush operation

    math.AC 2019-08 conditional novelty 6.0 of 10

    For 'good' monomial ideals, the Ratliff-Rush closure equals the intersection of n ideals obtained by stabilizing along the coordinate axes.

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