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arXiv · 1904.07484

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

Dinh Thanh Trung
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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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Dinh Thanh Trung. 2019-04-16. On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring. https://arxiv.org/abs/1904.07484

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