Hocshchild-Serre Statement for the total cohomoly

Lescure, Francois ^[1]
1. [1] Universite de Lille 1.
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 2, 2012, págs. 165-168
Idioma: inglés
DOI: 10.4067/S0716-09172012000200005
Enlaces
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Resumen
- 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).
Referencias bibliográficas
- Citas [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 d´ eriv´ e, Homology, Homotopy and Applications, Volume 12, Number 1, pp. 367-400, (2010).