The cohomology of Monsky and Washnitzer

Marius van der Put

Mémoires de la Société Mathématique de France (1986)

  • Volume: 23, page 33-59
  • ISSN: 0249-633X

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Put, Marius van der. "The cohomology of Monsky and Washnitzer." Mémoires de la Société Mathématique de France 23 (1986): 33-59. <http://eudml.org/doc/94862>.

@article{Put1986,
author = {Put, Marius van der},
journal = {Mémoires de la Société Mathématique de France},
keywords = {Legendre family; hypergeometric equation; Monsky-Washnitzer cohomology; Artin approximation theorem; rigid analysis},
language = {eng},
pages = {33-59},
publisher = {Société mathématique de France},
title = {The cohomology of Monsky and Washnitzer},
url = {http://eudml.org/doc/94862},
volume = {23},
year = {1986},
}

TY - JOUR
AU - Put, Marius van der
TI - The cohomology of Monsky and Washnitzer
JO - Mémoires de la Société Mathématique de France
PY - 1986
PB - Société mathématique de France
VL - 23
SP - 33
EP - 59
LA - eng
KW - Legendre family; hypergeometric equation; Monsky-Washnitzer cohomology; Artin approximation theorem; rigid analysis
UR - http://eudml.org/doc/94862
ER -

References

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  1. [1] A. Adolphson — An index theorem for p-adic differential operators. Trans. Amer. Math. Soc. 216 (1976) 297-293. Zbl0297.47039MR52 #8127
  2. [2] M. Artin — On the solutions of analytic equations. Invent. math. 5, 277-291 (1968). Zbl0172.05301MR38 #344
  3. [3] R. Berger — Über Verschiedene Differentenbegriffe, Sitzungsberichte der Heidelberger Akademie der Wissenschaften. Jahrg. 1960. Abh. 1. Zbl0111.24603
  4. [4] S. Bosch — A rigid analytic version of M. Artin's theorem on analytic equations. Math.Ann. 255, 395-404 (1981). Zbl0462.14002MR82k:32067
  5. [5] C.H. Clemers — A Scrapbook of Complex Curve Theory. Plenum Press. 1980. Zbl0456.14016
  6. [6] B. Dwork — A deformation theory for the zeta function of a hypersurface. Proc.Int.Cong.Math. (1962) 247-259. Zbl0196.53302
  7. [7] B. Dwork — Lectures on p-adic Differential Equations. Grundlehren. N° 253, Springer Verlag 1982. Zbl0502.12021MR84g:12031
  8. [8] N. Katz — On the differential equations satisfied by period matrices. Publ. I.H.E.S. N° 35 — 1968. Zbl0159.22502MR39 #4168
  9. [9] N. Katz — Travaux de Dwork — Séminaire Bourbaki. 1971/1972 n° 409. Zbl0259.14007
  10. [10] N. Katz — Algebraic Solutions of Differential Equations. (p-Curvature and the Hodge Filtration/Invent.math. 18, 1-118 (1972). Zbl0278.14004MR49 #2728
  11. [11] P. Monsky, G. Washnitzer — Formal cohomology I. Annals of Math. 1968. Zbl0162.52504MR40 #1395
  12. [12] P. Monsky — Formal cohomology II and III. Annals of Math. 1968 and 1971. Zbl0162.52601
  13. [13] P. Monsky — p-adic analysis and zeta-functions1970. Lectures at Kyoto-University. Zbl0256.14009MR44 #215
  14. [14] D. Reich — A p-adic fixed point formula, Amer.J.Math. 91 (1969) 835-850. Zbl0213.47502MR41 #210
  15. [15] R. Elkik — Solutions d'équations à coefficients dans un anneau hensélien. Ann.Scient.Ec.Norm.Syp. 6, n° 4, 553-604 (1973). Zbl0327.14001MR49 #10692
  16. [16] R. Hartshorne — Algebraic Geometry. GTM 52, Springer Verlag 1977. Zbl0367.14001MR57 #3116

Citations in EuDML Documents

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  1. Jean-Yves Etesse, Relèvement de schémas et algèbres de Monsky-Washnitzer : théorèmes d’équivalence et de pleine fidélité
  2. Marius Van der Put, De Rham cohomology of affinoid spaces
  3. Pierre Berthelot, 𝒟 -modules arithmétiques. I. Opérateurs différentiels de niveau fini
  4. Z. Mebkhout, L. Narváez-Macarro, La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer
  5. Bruno Chiarellotto, Weights in rigid cohomology applications to unipotent F -isocrystals
  6. Jean-Yves Étesse, Descente étale des F-isocristaux surconvergents et rationalité des fonctions L de schémas abéliens

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