Using vanishing of graded components of local cohomology modules of the Rees algebra of the normal filtration of an ideal, we give bounds on the normal reduction number. This helps to get necessary and sufficient conditions in Cohen-Macaulay local rings of dimension d >= 3, for the vanishing of the normal Hilbert coefficients (e) over bar (k)(I) for k <= d, in terms of the normal reduction number.
机构:
Natl Polytech Inst, Ctr Res & Adv Studies, Math Dept, Mexico City 07738, DF, MexicoNatl Polytech Inst, Ctr Res & Adv Studies, Math Dept, Mexico City 07738, DF, Mexico
Tochimani, A.
Villarreal, R. H.
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机构:
Natl Polytech Inst, Ctr Res & Adv Studies, Math Dept, Mexico City 07738, DF, MexicoNatl Polytech Inst, Ctr Res & Adv Studies, Math Dept, Mexico City 07738, DF, Mexico