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Complexe dualisant et théorèmes de dualité en géométrie analytique complexe. (French) Zbl 0206.25006


MSC:

55M05 Duality in algebraic topology
32C18 Topology of analytic spaces
32C37 Duality theorems for analytic spaces
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References:

[1] A. Andreotti etH. Grauert, Théorèmes de finitude pour la cohomologie des espaces complexes,Bull. Soc. Math. France,90 (1962), 193–259. · Zbl 0106.05501
[2] H. Bass, On the ubiquity of Gorenstein rings,Math. Zeitschrift,82 (1963), 8–28. · Zbl 0112.26604
[3] G. E. Bredon,Sheaf Theory, McGraw-Hill, 1967, 176.
[4] P. Cartier, Les groupes Exts(A, B),Séminaire A. Grothendieck, 1956–1957 (exposé no 3).
[5] J. Frisch, Points de platitude d’un morphisme d’espaces analytiques complexes,Inventiones Math.,4 (1967), 118. · Zbl 0167.06803
[6] A. Grothendieck,Espaces vectoriels topologiques, São Paulo, 1964. · Zbl 0316.46001
[7] R. Hartshorne, Residues and Duality,Lecture Notes in Mathematics,20, Springer Verlag, 1966.
[8] R. Hartshorne, Local Cohomology,Lecture Notes in Mathematics,41, Springer Verlag, 1967.
[9] B. Malgrange, Faisceaux sur les variétés analytiques réelles,Bull. Soc. Math. France,85 (1957). · Zbl 0079.39201
[10] B. Malgrange, Systèmes différentiels à coefficients constants,Séminaire Bourbaki, t. 15, 1962–1963, no 246.
[11] J.-P. Serre, Un théorème de dualité,Comm. Math. Helv.,29 (1955), 9–26. · Zbl 0067.16101
[12] J.-P. Serre,Groupes algébriques et corps de classes, Paris, Hermann, 1959. · Zbl 0097.35604
[13] Y. T. Siu, Analytic sheaf cohomology groups of dimensionn ofn-dimensional complex spaces,Trans A.M.S.,143 (1969).
[14] K. Suominen, Duality for coherent sheaves on analytic manifolds,Ann. Acad. Scient. Fennicae, Helsinki, 1968. · Zbl 0185.15205
[15] F. Trèves,Topological vector spaces, distributions and kernels, New York, Academic Press, 1967.
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