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    17 March 2003
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    The authors proved a zero or infinity law for the d-bar cohomology group of a locally closed subset of a Stein manifold. In particular, a necessary condition for a CR manifold generically embedded in a Stein manifold is that its boundary d-bar cohomology group must be either zero or infinite dimensional.
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    d-bar operator
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    tangential CR operator
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    embedding of CR manifolds
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