Vol. 108, No. 2, 1983

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A note on primary powers of a prime ideal

Wei-Eihn Kuan

Vol. 108 (1983), No. 2, 319–325
Abstract

Let X Pkn be an irreducible projective variety. Let B = k[x0,,xn] and let P B be the homogeneous prime ideal of X generated by ht(p) + 1 elements and let A = B∕P be the homogeneous coordinate ring of X. The following are equivalent: (1) A(p) is a complete intersection for all homogeneous prime ideals p in A of height 1; (2) P2 is primary: (3) Pi is primary for all integers i > 0.

Mathematical Subject Classification 2000
Primary: 13A17, 13A17
Secondary: 13B30
Milestones
Received: 9 September 1980
Published: 1 October 1983
Authors
Wei-Eihn Kuan