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Bibliography
Amice Y.: “Les nombres p-adiques”. Presses Universitaires de France, Paris (1975).
Altman A.; Kleiman S.: “Introduction to Grothendieck duality theory”. Lecture Notes in Mathematics 146, Springer-Verlag, Berlin (1970).
Artin M.: “Grothendieck topologies”. Notes on a seminar by M. Artin, Harvard University (1962).
Berthelot P.: “Cohomologie rigide et cohomologie rigide à support propre”. A paraitre dans Astérisque.
Bosch S.; Güntzer U.; Remmert R.: “Non archimedean Analysis”. Grundlehren der Math. Wissenschaften 261, Springer-Verlag, Berlin (1984).
Berger R.; Kiehl R.; Kunz E.; Nastold N.J.: “Differentialrechnung in der analytischen Geometrie”. Lecture Notes in Mathematics 38, Springer-Verlag, Berlin (1967).
Bourbaki N.: “Espaces vectoriels topologiques”. Hermann, Paris (1958).
Cartier P.: “Les groupes Ext s(A,B)”. Séminaire Grothendieck t.1, 1957 n.3 Secrétariat Math., Paris (1958).
Fresnel J.: “Cours de géométrie analytique rigide”. Université de Bordeaux I (1984).
Fresnel J.; Van der Put M.: “Géométrie analytique rigide et applications”. Progress in Math. 18, Birkhauser (1981).
Grothendieck A.: “Sur quelques points d'algèbre homologique”, Tohoku Math. J. 9, 119–221 (1957).
Gruson L.: “Fibrés vectoriels sur un polydisque ultramétrique”. Ann. Scient. Ec. Norm. Sup. 4e série, 1, 45–89 (1968).
Harthshorne R.: “Algebraic Geometry”. Springer-Verlag, Berlin (1977).
Harthshorne R.: “Residues and Duality”. Lecture Notes in Mathematics 20, Springer-Verlag, Berlin (1966).
Ingleton A.W.: “The Hahn-Banach theorem for non-Archimedean valued fields”. Proc. Cambridge Phil. Soc. 48, 41–45 (1952).
Kiehl R.: “Der Endlichkeitssatz fur eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie”. Inventiones Math. 2, 191–214 (1967).
Kiehl R.: “Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie”. Inventiones Math. 2, 256–273 (1967).
Kopf U.: “Uber eigentliche Familien algebraischer Varietaten uber affinoiden Raumen”. Schriftenreihe Math. Inst. Univ. Münster 2 Serie, Heft 7 (1974).
Liu Q.: “Un contre example au critère cohomologique d'affinoidité”. C.R. Acad. Sci. Paris t.307 Série 1, 83–86 (1988).
Lütkebohmert W.: “Steinsche Räume in der nichtarchimedischen Funktionentheorie”. Schriftenreihe Math. Inst. Univ. Münster 2 Serie, Heft 6 (1973).
Lütkebohmert W.: “Formal-algebraic and rigid-analytic geometry”. Math. Ann. 286, 341–371 (1990).
Morita Y.: “A p-adic theory of hyperfunctions I”. Publ. Res. Inst. Math. Sci. 17, 1–24 (1981).
Morita Y.: “A p-adic theory of hyperfunctions II”. in “Algebraic Analysis”, vol.I, 457–472, Academic Press (1988).
Morita Y.; Schikhof W.H.: “Duality of proiective limit spaces and inductive limit spaces over a non-spherically complete non archimedean field”. Tohoku Math. J. 38, 387–397 (1986).
Ramis J.P.; Ruget G.: “Complexe dualisant et théorèmes de dualité en géométrie analytique complexe”. Publ. Math. I.H. ES 38, 77–91 (1970)
van ROOIJ A.C.M.: “Nonarchimedean functional analysis”. Monographs and Textbooks in Pure and Applied Math. 51, Marcel Dekker, Inc. Basel (1978).
Schikhof W.H.: “Locally convex spaces over non spherically complete valued field I, II”. Tijdschrift van het Belgisch Wiskundig Genootschap Serie B, fasc. I, 28 187–224 (1986).
Serre J.P.: “Un théorème de dualité”. Comm. Math. Helv. 29, 9–26 (1955).
“Séminaire de Géométrie Algébrique. Théorie des Topos et Cohomologie étale des Schémas”. M. Artin; A. Grothendieck L.N. in Math., 269–270 (1972).
Suominen K.: “Duality for coherent sheaves on analytic manifolds”. Annales Ac. Scient. Fennicae, 424 (1968).
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Chiarellotto, B. (1990). Duality in rigid analysis. In: Baldassarri, F., Bosch, S., Dwork, B. (eds) p-adic Analysis. Lecture Notes in Mathematics, vol 1454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091137
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