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- W1676579892 abstract "Let $X$ and $S$ be complex spaces with $X$ countable at infinity and $S$ reduced locally pure dimensional. Let $pi:Xto S$ be an universally-$n$-equidimensional morphism (i.e open with constant pure $n$-dimensional fibers). If there is a cycle $goth{X}$ of $Xtimes S$ such that, his support coincide fiberwise set-theorically with the fibers of $pi$ and endowed this with a good multiplicities in such a way that $(pi^{-1}(s))_{sin S}$ becomes a local analytic (resp. continuous) family of cycles in the sense of [B.M], $pi$ is called analytically(resp. continuously) geometrically flat according to the weight $goth{X}$. One of many results obtained in this work say that an universally-$n$-equidimensional morphism is analytically geometrically flat if and only if admit a weighted relative fundamental class morphism satisfies many nice functorial properties which giving, for a finite Tor-dimensional morphism or in the embedding case, the relative fundamental class of Angeniol-Elzein [E.A] or Barlet [B4]. From this, we deduce the generalization result [Ke] and nice characterization of analytically geometrically flatness by the Kunz-Waldi sheaf of regular meromorphic relative forms." @default.
- W1676579892 created "2016-06-24" @default.
- W1676579892 creator A5038575166 @default.
- W1676579892 date "2009-06-11" @default.
- W1676579892 modified "2023-09-23" @default.
- W1676579892 title "Platitude géométrique et classes fondamentales relatives pondérées I" @default.
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