Examples of liftings of surfaces and a problem in de Rham cohomology

William E. Lang

Compositio Mathematica (1995)

  • Volume: 97, Issue: 1-2, page 157-160
  • ISSN: 0010-437X

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Lang, William E.. "Examples of liftings of surfaces and a problem in de Rham cohomology." Compositio Mathematica 97.1-2 (1995): 157-160. <http://eudml.org/doc/90371>.

@article{Lang1995,
author = {Lang, William E.},
journal = {Compositio Mathematica},
keywords = {de Rham cohomology; characteristic ; surfaces},
language = {eng},
number = {1-2},
pages = {157-160},
publisher = {Kluwer Academic Publishers},
title = {Examples of liftings of surfaces and a problem in de Rham cohomology},
url = {http://eudml.org/doc/90371},
volume = {97},
year = {1995},
}

TY - JOUR
AU - Lang, William E.
TI - Examples of liftings of surfaces and a problem in de Rham cohomology
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 97
IS - 1-2
SP - 157
EP - 160
LA - eng
KW - de Rham cohomology; characteristic ; surfaces
UR - http://eudml.org/doc/90371
ER -

References

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  1. [1] Birch, B. J. and Kuyk, W. (eds.): Modular functions of one variable IV. (Lecture Notes Math., vol. 476) BerlinHeidelbergNew York: Springer1975. Zbl0315.14014MR376533
  2. [2] Bombieri, E. and Mumford, D.: Enriques' classification of surfaces in characteristic p, II. In: Complex Analysis and Algebraic Geometry, Cambridge University Press, 1977. Zbl0348.14021
  3. [3] Deligne, P. and Illusie, L.: Relevements modulo p2 et decomposition du complexe de de Rham. Invent. Math.89 (1987) 247-270. Zbl0632.14017MR894379
  4. [4] Husemoller, D.: Elliptic Curves. (Grad. Texts Math., vol. 111) BerlinHeidelbergNew York: Springer1987. Zbl0605.14032MR868861
  5. [5] Illusie, L.: Complexe de de Rham-Witt et cohomologie cristalline. Ann. Scient. Ec. Norm. Sup.12 (1979) 501-661. Zbl0436.14007MR565469
  6. [6] Lang, W.E.: Quasi-elliptic surfaces in characteristic three. Ann. Scient. Ec. Norm. Sup.12 (1979) 473-500. Zbl0457.14015MR565468
  7. [7] Lang, W.E.: Two theorems on de Rham cohomology. Comp. Math.40 (1980) 417-423. Zbl0508.14011MR571059
  8. [8] Oda, T.: The first de Rham cohomology group and Dieudonne modules. Ann. Scient. Ec. Norm. Sup.2 (1969) 63-135. Zbl0175.47901MR241435
  9. [9] Raynaud, M.: "p-torsion" du schema de Picard. Asterisque64 (1979) 87-148. Zbl0434.14024MR563468
  10. [10] Silverman, J.: The Arithmetic of Elliptic Curves. (Grad. Texts Math., vol. 106) BerlinHeidelbergNew York: Springer1986. Zbl0585.14026MR817210
  11. [11] Tate, J. and Oort, F.: Group schemes of prime order. Ann. Scient. Ec. Norm. Sup.2 (1969) 1-21. Zbl0195.50801MR265368

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