Abstract.
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.
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Both authors were supported by the Academy of Finland, Project 48556. The first named author was also supported in part by the National Basic Research Program (Vietnam)
Mathematics Subject Classification (2000): 13D40, 13D45
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Hoa, L., Hyry, E. On local cohomology and Hilbert function of powers of ideals. manuscripta math. 112, 77–92 (2003). https://doi.org/10.1007/s00229-003-0393-1
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DOI: https://doi.org/10.1007/s00229-003-0393-1