On local cohomology and Hilbert function of powers of ideals
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Let I be a homogeneous ideal in a polynomial ring R=K[x 1 ,…,x m ], where K is an infinite field. In this article we investigate the asymptotic behaviour of the a i -invariants and the regularity index of the ring R/I n when n»0.
KeywordsAsymptotic Behaviour Polynomial Ring Hilbert Function Local Cohomology Homogeneous Ideal
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