On local cohomology and Hilbert function of powers of ideals |
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Authors: | Lê Tuan?Hoa Email author" target="_blank">Eero?HyryEmail author |
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Institution: | (1) Institute of Mathematics, 631, Bò Hô, 10000 Hanoi, Vietnam;(2) Department of Mathematics, University of Helsinki, PL 4 (Yliopistonkatu 5), 00014 Helsingin Yliopisto, Finland |
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Abstract: | Let I be a homogeneous ideal in a polynomial ring R=Kx1,,xm], where K is an infinite field. In this article we investigate the asymptotic behaviour of the ai-invariants and the regularity index of the ring R/In when n»0.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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