Cohomology on affinoid spaces

M. Van der Put

Compositio Mathematica (1982)

  • Volume: 45, Issue: 2, page 165-198
  • ISSN: 0010-437X

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Van der Put, M.. "Cohomology on affinoid spaces." Compositio Mathematica 45.2 (1982): 165-198. <http://eudml.org/doc/89533>.

@article{VanderPut1982,
author = {Van der Put, M.},
journal = {Compositio Mathematica},
keywords = {constructible sheaf; non-archimedean valued ground field; rigid analytic space; cohomology of affinoid space; base change},
language = {eng},
number = {2},
pages = {165-198},
publisher = {Martinus Nijhoff Publishers},
title = {Cohomology on affinoid spaces},
url = {http://eudml.org/doc/89533},
volume = {45},
year = {1982},
}

TY - JOUR
AU - Van der Put, M.
TI - Cohomology on affinoid spaces
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 45
IS - 2
SP - 165
EP - 198
LA - eng
KW - constructible sheaf; non-archimedean valued ground field; rigid analytic space; cohomology of affinoid space; base change
UR - http://eudml.org/doc/89533
ER -

References

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  1. [1] W. Bartenwerfer: Die höheren metrischen Kohomologiegruppen affinoider Räume. Math. Ann.241 (1979) 11-34. MR531147
  2. [2] W. Bartenwerfer: Die Lösung des nichtarchimedischen Corona-Problems für beliebige Dimension. Journal für die reine und angewandte Mathematik Bd 319 (1980) 133-141. Zbl0426.46060MR586119
  3. [3] L. Gerritzen: On non-archimedean representations of abelian varieties. Math. Ann169 (1972) 323-346. Zbl0255.14013MR308132
  4. [4] L. Gerritzen and M. Van Der Put: Schottky groups and Mumford curves. Lect. Notes in Math.817 (1980). Zbl0442.14009MR590243
  5. [5] L. Gruson: Fibrés vectoriels sur un polydisque ultramétrique. Ann. Scient. Ec. Norm. Sup.4e série, t.1 (1968) 45-89. Zbl0197.17401MR229654
  6. [6] M. Van Der Put: The class group of a one-dimensional affinoid space. (to appear in Ann. de. l'Inst. Fourier1980). Zbl0426.14014MR599628
  7. [7] M. Van Der Put: La conjecture de la couronne en analyse complexe et p-adique. Séminaire de Théorie des Nombres. Bordeaux oct. '79, Zbl0448.46054MR604206
  8. [8] J. Tate: Rigid Analytic Spaces. Invent. math.12 (1971) 257-289. Zbl0212.25601MR306196
  9. [9] L. Gerritzen: Zerlegung der Picard-Gruppe nichtarchimedischer holomorpher Räume. Compositio Math.35 (1977) 23-38. Zbl0353.14009MR460732

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