Holomorphic separation and the union problem
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- by Giuseppe Vigna Suria
- Proc. Amer. Math. Soc. 92 (1984), 538-540
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760941-3
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Abstract:
We give a sufficient condition for an increasing union of holomorphically separated analytic spaces to be holomorphically separated. Furthermore, an example of J. E. Fornaess is investigated in order to show that a union as above is not always holomorphically separated.References
- Aldo Andreotti and Hans Grauert, Théorème de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 90 (1962), 193–259 (French). MR 150342, DOI 10.24033/bsmf.1581
- John Erik Fornaess, $2$ dimensional counterexamples to generalizations of the Levi problem, Math. Ann. 230 (1977), no. 2, 169–173. MR 486625, DOI 10.1007/BF01370661
Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 538-540
- MSC: Primary 32E15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760941-3
- MathSciNet review: 760941