Hocshchild-Serre Statement for the total cohomoly
DOI:
https://doi.org/10.4067/S0716-09172012000200005Keywords:
Homology, cohomology, homología, cohomología.Abstract
Let M be a complex manifold and F a OM-module with a g-holomorphic action where g is a complex Lie algebra (cf. [3]). We denote by H(g, F) the "total cohomology" as defined in [1] [2]. Then we prove that, for any ideal a c g,the module H* (a, F) viewed as a g/a-module, we have a spectral sequence which converges to H(g, F).References
[1] F. Lescure, Action sur la cohomologie de Dolbeault, C. R. Acad. Sci., 314, pp. 923-926, (1992).
[2] F. Lescure, Cohomologie totale et courants de Dolbeault invariants, J. reine angew. Math., 475, pp. 103-136, (1996).
[3] F. Lescure La cohomologie totale est un foncteur dérivé, Homology, Homotopy and Applications, Volume 12, Number 1, pp. 367-400, (2010).
[2] F. Lescure, Cohomologie totale et courants de Dolbeault invariants, J. reine angew. Math., 475, pp. 103-136, (1996).
[3] F. Lescure La cohomologie totale est un foncteur dérivé, Homology, Homotopy and Applications, Volume 12, Number 1, pp. 367-400, (2010).
Published
2012-06-20
How to Cite
[1]
F. Lescure, “Hocshchild-Serre Statement for the total cohomoly”, Proyecciones (Antofagasta, On line), vol. 31, no. 2, pp. 165-168, Jun. 2012.
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