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
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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).