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of what it means. First, if is the constant sheaf and is a smooth submanifold, then we get
:,where the cohomology group on the right is local cohomology with support in . Through further reductions, it is possible to identify the homology of with the cohomology of . This is useful in algebraic geometry for computing the cohomology groups of projective varieties, and is exploited for constructing a basis of

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