Geodesic
La cohomologie totale est un foncteur dérivé
Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 367-400.

Voir la notice de l'article provenant de la source International Press of Boston

We use a certain sheaf of associative rings to define a global Ext functor. We prove that the “cohomologie totale” which we defined in an earlier paper in an analytic way is given by this global Ext. We use this functorial definition to prove some results conjectured in earlier papers. We introduce the “anchor spectral sequence” and use it to give a precise description of the total cohomology for the special case of complex homogeneous spaces.
DOI : 10.4310/HHA.2010.v12.n1.a19
Classification : 17B66, 32M05, 32M25
Keywords: Lie algebra of vector fields, complex vector fields, complex Lie groups, groups of automorphisms acting on complex spaces 
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François Lescure. La cohomologie totale est un foncteur dérivé. Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 367-400. doi : 10.4310/HHA.2010.v12.n1.a19. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a19/

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