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Relative fundamental class in Deligne cohomology and application. (Classe fondamentale relative en cohomologie de Deligne et application.) (French) Zbl 0873.32011
Let \(S\) be a reduced complex analytic finite-dimensional space and \(X\) the graph of local analytic family \((X_s)_{s\in S}\) of \(n-\)cycles of complex analytic manifold \(Z\) parametrized by \(S.\) The objective of this article is to construct the \(S\)-relative fundamental class of the family \((X_s)_{s\in S}\) in Deligne cohomology.

32C36 Local cohomology of analytic spaces
32C30 Integration on analytic sets and spaces, currents
32G13 Complex-analytic moduli problems
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