Hochschild-Serre Statement for the total cohomology
François Lescure
Universite de Lille 1, France
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 derive, Homology, Homotopy and Applications, Volume 12, Number 1, pp. 367-400, (2010).
Received : February 2012. Accepted : March 2012
Francois Lescure
U.M.R. CNRS 8524
U.F.R. de Mathóematiques
Universitóe de Lille 1
59655 Villeneuve d'Ascq Cedex
FRANCE
e-mail : francois.lescure@math.univ-lille1.fr
]]>