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Local Cohomology, Second Edition by R. Y. Sharp, M. P. Brodmann

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12

Canonical modules

Suppose that (R, images) is local of dimension n > 0. We have seen earlier in the book some illustrations of the importance of the so-called ‘top’ local cohomology module images(R) of R. (It is referred to as the ‘top’ local cohomology module because images(R) = 0 for all i > n by Grothendieck’s Vanishing Theorem 6.1.2, whereas images(R) ≠ 0 by the Non-vanishing ...

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