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Stein surfaces as open subsets of C^2

Robert E. Gompf
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Abstract

An open subset U of a complex surface can be topologically perturbed to yield an open subset whose inherited complex structure is Stein, if and only if U is homeomorphic to the interior of a handlebody whose handles all have index equal or less than 2.

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Robert E. Gompf. 2006-06-02. Stein surfaces as open subsets of C^2. https://arxiv.org/abs/math/0501509

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