Serre duality for rigid analytic spaces. (English) Zbl 0762.32016
From the abstract: “A duality theory for morphisms \(X\to Y\) of rigid analytic spaces over some nonarchimedean valued complete field \(K\) is developed. As one expects the paper is rather technical in nature and the results are not surprising”.
Reviewer: S. M. Ivashkovich (Bochum)
References:
[1] | Bosch, S.; Güntzer, U.; Remmert, R., Non archimedean Analysis, Grundlehren Math. Wiss., 261 (1984), Springer Verlag: Springer Verlag Berlin · Zbl 0539.14017 |
[2] | Bãnicã, C.; Stãnãsilã, O., Méthodes algébriques dans la théorie globale des espaces complexes, Vol. 2 (1966), Gauthier-Villars · Zbl 0349.32006 |
[3] | Chiarellotto, B., Duality in Rigid Analysis, Lecture Notes in Math., 1454, 142-172 (1990) · Zbl 0737.32012 |
[4] | Hartshorne, R., Residues and Duality, Lecture Notes in Math., 20 (1966) · Zbl 0212.26101 |
[5] | Kiehl, R., Der Endlichkeitsatz für eigentliche Abbildungen in der nichtarchimedische Funktionentheorie, Inventiones Math., 2, 191-214 (1967) · Zbl 0202.20101 |
[6] | Kiehl, R., Theorem A and Theorem B in der nichtarchimedischen Funktionentheorie, Inventiones Math., 2, 256-273 (1967) · Zbl 0202.20201 |
[7] | Lütkebohmert, W., Steinsche Räume in der nicht-archimedischen Funktionentheorie, 2 (1973), Schriftreihe Math. Inst. Univ. Münster, Serie, Heft 6 · Zbl 0264.32010 |
[8] | Lütkebohmert, W., Formal algebraic and rigid-analytic geometry, Math. Ann., 286, 341-371 (1990) · Zbl 0716.32022 |
[9] | Put M., van der, Cohomology on affinoid spaces, Compositio Math., 45, 2, 165-198 (1982) · Zbl 0491.14014 |
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