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- W1976566304 abstract "Let X be a complex space of dimension n, not necessarily reduced, whose cohomology groups H 1(X, $$ mathcal{O} $$ ), ...,H n−1(X, $$ mathcal{O} $$ ) are of finite dimension (as complex vector spaces). We show that X is Stein (resp., 1-convex) if, and only if, X is holomorphically spreadable (resp., X is holomorphically spreadable at infinity). This, on the one hand, generalizes a known characterization of Stein spaces due to Siu, Laufer, and Simha and, on the other hand, it provides a new criterion for 1-convexity." @default.
- W1976566304 created "2016-06-24" @default.
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- W1976566304 date "2010-08-03" @default.
- W1976566304 modified "2023-10-10" @default.
- W1976566304 title "A cohomological steinness criterion for holomorphically spreadable complex spaces" @default.
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- W1976566304 doi "https://doi.org/10.1007/s10587-010-0060-0" @default.
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