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

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16

Castelnuovo regularity

In Chapter 15, we have seen that, when (K is an algebraically closed field, rimages and) R is the homogeneous coordinate ring of a projective variety Vimagesr(K) of positive dimension, the end of the (necessarily graded) first local cohomology module images(R) is of interest: see 15.2.4. This is one motivation for our work in this chapter, where we shall study, in the case when R = ⊕n0 Rn is positively graded, the ends of the local ...

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