De Rham cohomology of affinoid spaces

Marius Van der Put

Compositio Mathematica (1990)

  • Volume: 73, Issue: 2, page 223-239
  • ISSN: 0010-437X

How to cite


Van der Put, Marius. "De Rham cohomology of affinoid spaces." Compositio Mathematica 73.2 (1990): 223-239. <>.

author = {Van der Put, Marius},
journal = {Compositio Mathematica},
keywords = {de Rham cohomology of smooth affinoid spaces; de Rham complex; affinoid algebras; overconvergent representation},
language = {eng},
number = {2},
pages = {223-239},
publisher = {Kluwer Academic Publishers},
title = {De Rham cohomology of affinoid spaces},
url = {},
volume = {73},
year = {1990},

AU - Van der Put, Marius
TI - De Rham cohomology of affinoid spaces
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 2
SP - 223
EP - 239
LA - eng
KW - de Rham cohomology of smooth affinoid spaces; de Rham complex; affinoid algebras; overconvergent representation
UR -
ER -


  1. 1. A. Adolphson, An index theorem for p-adic differential operators. Trans. Amer. Math. Soc.216 (1976), 269-293. Zbl0297.47039MR387284
  2. 2. M. Artin, On the solutions of analytic equations. Invent. Math.5, (1968), 277-291. Zbl0172.05301MR232018
  3. 3. F. Baldassarri, Comparison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module différentiel I. (Cas des courbes)Invent. Math '87, (1987), 83-99. Zbl0586.14009MR862713
  4. 4. S. Bosch, A rigid analytic version of M. Artin's theorem on analytic equations. Math. Ann.255, (1981), 395-404. Zbl0462.14002MR615859
  5. 5. S. Bosch, U. Güntzer and R. Remmert, Non-Archimedean Analysis Grundlehren der math. Wissenschaften Vol 261, Springer Verlag1984. Zbl0539.14017MR746961
  6. 6. J. Fresnel and M. van der Put, Géométrie analytique rigide et applications. Progress in Math. Vol 18, Birkhäuser Verlag1981. Zbl0479.14015MR644799
  7. 7. L., Gerritzen and M. van der Put, Schottky groups and Mumford curves. Lect. Notes in Math. 817, Springer Verlag1980. Zbl0442.14009MR590243
  8. 8. A. Grothendieck, On the de Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S. 29, 1966. Zbl0145.17602MR199194
  9. 9. R. Kiehl, Die De Rham Kohomologie Algebraïscher Mannigfaltigkeiten über einem bewerteten Körper. Publ. Math. I.H.E.S33, 1968. Zbl0159.22404MR229644
  10. 10. P. Monsky and G. Washnitzer, Formal cohomology I. Annals of Math.1968, 181-217. Zbl0162.52504MR248141
  11. 11. P. Monsky, Formal cohomology II and III. Annals of Math.1968, 218-238and Annals of Math. 1971, 315-343. Zbl0213.47501MR321931
  12. 12. M. Van der Put, A problem on coefficient fields and equations over local rings. Compositio Math.30, 3, 1975, 235-258. Zbl0304.13018MR384796
  13. 13. M. Van der Put, The class group of a one-dimensional affinoid space. Ann. de l'Inst. Fourier30, 1980, 155-164. Zbl0426.14014MR599628
  14. 13. M. Van der Put, The cohomology of Monsky and Washnitzer. Soc. Math. de France, 2e Série, Mémoire no. 23, 1986, 33-60. Zbl0606.14018MR865811
  15. 15. Ph. Robba, Une introduction naïve aux cohomologies de Dwork. Soc. Math. de France, 2e Série, Mémoire no. 23, 1986, 61-105. Zbl0623.14005MR865812

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.