Galois structure of de Rham cohomology

Ted Chinburg

Journal de théorie des nombres de Bordeaux (1992)

  • Volume: 4, Issue: 1, page 1-18
  • ISSN: 1246-7405

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Chinburg, Ted. "Galois structure of de Rham cohomology." Journal de théorie des nombres de Bordeaux 4.1 (1992): 1-18. <http://eudml.org/doc/93555>.

@article{Chinburg1992,
author = {Chinburg, Ted},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {Galois structure of de Rham cohomology; tamely ramified cover of schemes; Euler characteristic in Grothendieck groups; rings of integers},
language = {eng},
number = {1},
pages = {1-18},
publisher = {Université Bordeaux I},
title = {Galois structure of de Rham cohomology},
url = {http://eudml.org/doc/93555},
volume = {4},
year = {1992},
}

TY - JOUR
AU - Chinburg, Ted
TI - Galois structure of de Rham cohomology
JO - Journal de théorie des nombres de Bordeaux
PY - 1992
PB - Université Bordeaux I
VL - 4
IS - 1
SP - 1
EP - 18
LA - eng
KW - Galois structure of de Rham cohomology; tamely ramified cover of schemes; Euler characteristic in Grothendieck groups; rings of integers
UR - http://eudml.org/doc/93555
ER -

References

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  1. [C] Chinburg T., Galois structure of de Rham cohomology of tame covers of schemes, (To appear). Zbl0828.14007MR1274097
  2. [E-L] Ellingsrud G. and Lønsted K., An equivariant Lefschetz formula for finite reductive groups, Math. Ann., 251, 253 - 261 (1980). Zbl0425.14012MR589254
  3. [F] Fröhlich A., Galois Module Structure of Algebraic Integers, Heidelberg - New York - Tokyo: Springer - Verlag (1983). Zbl0501.12012MR717033
  4. [EGA 1] Grothendieck A. and Dieudonné J., Eléments de Géométrie Algebrique ( EGA I); Le language des schémas., Inst. Hautes Études Sci. Publ. Math.4. 
  5. [EGA III] Grothendieck A. and Dieudonné J., Eléments de Géométrie Algebrique ( EGA III ); Étude cohomologique des faisceaux cohérents., Inst. Hautes Études Sci. Publ. Math.8. 
  6. [G-M] Grothendieck A. and Murre J.P., The Tame Fundamental Group of a Formal Neighborhood of a Divisor with Normal Crossings on a Scheme., (Lect. Notes in Math, vol. 208). Berlin - Heidelberg - New York: Springer - Verlag (1971). Zbl0216.33001MR316453
  7. [H1] Hartshorne R., Algebraic Geometry., New York- Heidelberg- Berlin: Springer - Verlag (1977). Zbl0367.14001MR463157
  8. [H2] Hartshorne R., Residues and Duality., (Lect. Notes in Math, vol. 20). Berlin - Heidelberg - New York: Springer - Verlag (1966). Zbl0212.26101MR222093
  9. [L] Lang S., Algebraic Number Theory., U. S. A.: Addison Wesley (1970). Zbl0211.38404MR282947
  10. [M] Milne J., Étale Cohomology., Princeton, N. J.: Princeton Univ. Press (1980). Zbl0433.14012MR559531
  11. [N1] Nakajima S., Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties, J. Number Theory22, 115 -123. Zbl0602.14017MR821138
  12. [N2] Nakajima S., On Galois module structure of the cohomology groups of an algebraic variety, Invent. Math.75, 1 -8. Zbl0616.14007MR728135
  13. [S1] Serre J.-P., Corps Locaux (2nd ed.), Paris: Hermann (1968). MR354618
  14. [S2] Serre J.-P., Linear Representations of Finite Groups., New York - Heidelberg- Berlin: Springer - Verlag (1977). Zbl0355.20006MR450380
  15. [T] Taylor M.J., On Frõhlich's Conjecture for Rings of Integers of Tame Extensions, Invent. Math63, 41 -79. Zbl0469.12003MR608528

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