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- W2076923488 abstract "We say that a complex analytic space, X, is an intersection cohomology manifold if and only if the shifted constant sheaf on X is isomorphic to intersection cohomology; with field coefficients, this is quickly seen to be equivalent to X being a homology manifold. Given an analytic function f on an intersection cohomology manifold, we describe a simple relation between V(f) being an intersection cohomology manifold and the vanishing cycle Milnor monodromy of f. We then describe how the Sebastiani–Thom isomorphism allows us to easily produce intersection cohomology manifolds with arbitrary singular sets. Finally, as an easy application, we obtain restrictions on the cohomology of the Milnor fiber of a hypersurface with a special type of one-dimensional critical locus." @default.
- W2076923488 created "2016-06-24" @default.
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- W2076923488 date "2009-04-01" @default.
- W2076923488 modified "2023-09-27" @default.
- W2076923488 title "INTERSECTION COHOMOLOGY, MONODROMY AND THE MILNOR FIBER" @default.
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- W2076923488 doi "https://doi.org/10.1142/s0129167x0900539x" @default.
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