Abstract
Let pc = pfAtC) and p = p(Ac) be as in the proof of 3.7. Since pc is the only associated prime of Hc (/) c)(c) (this ring is Cohen-Macaulay by [2], so has no embedded primes, and pc is the only minimal prime by [3]), we see that (zero divisors of Hc (Ac)(c)} = pc. (In general, the set of zero divisors in a commutative Noetherian ring is the union of the associated primes.) Therefore, one has HCa(A,c?c) (HCa(A;c)(c))pC. As shown in the proof of 3.7, (HCc(A c)(c))vc = (f/Cc(/4 £)(c))p so that
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