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Cohomology on affinoid spaces. (English) Zbl 0491.14014

MSC:
14F20 Étale and other Grothendieck topologies and (co)homologies
14G20 Local ground fields in algebraic geometry
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References:
[1] W. Bartenwerfer : Die höheren metrischen Kohomologiegruppen affinoider Räume . Math. Ann. 241 (1979) 11-34.
[2] W. Bartenwerfer : Die Lösung des nichtarchimedischen Corona-Problems für beliebige Dimension . Journal für die reine und angewandte Mathematik Bd 319 (1980) 133-141. · Zbl 0426.46060 · doi:10.1515/crll.1980.319.133 · crelle:GDZPPN00219774X · eudml:152282
[3] L. Gerritzen : On non-archimedean representations of abelian varieties . Math. Ann 169 (1972) 323-346. · Zbl 0255.14013 · doi:10.1007/BF01428221 · eudml:162262
[4] L. Gerritzen and M. Van Der Put : Schottky groups and Mumford curves . Lect. Notes in Math. 817 (1980). · Zbl 0442.14009 · doi:10.1007/BFb0089957
[5] L. Gruson : Fibrés vectoriels sur un polydisque ultramétrique . Ann. Scient. Ec. Norm. Sup. 4e série, t.1 (1968) 45-89. · Zbl 0197.17401 · doi:10.24033/asens.1160 · numdam:ASENS_1968_4_1_1_45_0 · eudml:81830
[6] M. Van Der Put : The class group of a one-dimensional affinoid space . (to appear in Ann. de. l’Inst. Fourier 1980). · Zbl 0426.14014 · doi:10.5802/aif.812 · numdam:AIF_1980__30_4_155_0 · eudml:74469
[7] M. Van Der Put : La conjecture de la couronne en analyse complexe et p-adique . Séminaire de Théorie des Nombres. Bordeaux oct. ’79, · Zbl 0448.46054 · eudml:182062
[8] J. Tate : Rigid Analytic Spaces . Invent. math. 12 (1971) 257-289. · Zbl 0212.25601 · doi:10.1007/BF01403307 · eudml:142078
[9] L. Gerritzen : Zerlegung der Picard-Gruppe nichtarchimedischer holomorpher Räume . Compositio Math. 35 (1977) 23-38. · Zbl 0353.14009 · numdam:CM_1977__35_1_23_0 · eudml:89331
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