On cohomology groups of certain subcomplexes of Dolbeault complexes
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- by Shaw Mong PDF
- Proc. Amer. Math. Soc. 38 (1973), 632-636 Request permission
Abstract:
The paper first shows that for a path connected topological group acting analytically on a complex manifold $M$, the induced action on the cohomology groups of antiholomorphic forms on $M$ is trivial. By the same method it then shows that the cohomology groups of complex $\{ \ker {\partial ^{p,\ast }}\}$ can be injected into the Dolbeault cohomology groups.References
- A. Aeppli, On the cohomology structure of Stein manifolds, Proc. Conf. Complex Analysis (Minneapolis, 1964) Springer, Berlin, 1965, pp. 58–70. MR 0221536
- Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 632-636
- MSC: Primary 58A10; Secondary 32C30, 32C35
- DOI: https://doi.org/10.1090/S0002-9939-1973-0314080-9
- MathSciNet review: 0314080