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

2019/04/16 by Trung, Dinh Thanh
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.07484

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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