Closedness of coboundary modules of analytic sheaves
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- by Yum-tong Siu and Günther Trautmann
- Trans. Amer. Math. Soc. 152 (1970), 649-658
- DOI: https://doi.org/10.1090/S0002-9947-1970-0273068-9
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Abstract:
Suppose $A$ is a subvariety of a complex space $X$ and $\mathcal {J}$ is a coherent analytic sheaf on $X$. It is shown that, if the analytic sheaf $\mathcal {H}_{A}^{\nu }(\mathcal {J})$ of local cohomology is coherent for $0 \leqq \nu \leqq q$, then for $0 \leqq \nu \leqq q$ the local cohomology group $\mathcal {H}_{A}^{\nu }(X, \mathcal {J})$ with its natural topology is Hausdorff and hence is a Fréchet space.References
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Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 152 (1970), 649-658
- MSC: Primary 32.50
- DOI: https://doi.org/10.1090/S0002-9947-1970-0273068-9
- MathSciNet review: 0273068