van der Put, Marius Cohomology on affinoid spaces. (English) Zbl 0491.14014 Compos. Math. 45, 165-198 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 10 Documents MSC: 14F20 Étale and other Grothendieck topologies and (co)homologies 14G20 Local ground fields in algebraic geometry Keywords:constructible sheaf; non-archimedean valued ground field; rigid analytic space; cohomology of affinoid space; base change PDF BibTeX XML Cite \textit{M. van der Put}, Compos. Math. 45, 165--198 (1982; Zbl 0491.14014) Full Text: Numdam EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.