%0 Journal Article %T Hochschild-Serre Statement for the total cohomology %A Fran£¿ois Lescure %J Proyecciones (Antofagasta) %D 2012 %I Universidad Catš®lica del Norte %X 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) %U http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000200005