Galois structure of de Rham cohomology
Journal de théorie des nombres de Bordeaux, Tome 4 (1992) no. 1, pp. 1-18 
@article{JTNB_1992__4_1_1_0,
     author = {Ted Chinburg},
     title = {Galois structure of de {Rham} cohomology},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {1--18},
     year = {1992},
     publisher = {Universit\'e Bordeaux I},
     volume = {4},
     number = {1},
     doi = {10.5802/jtnb.61},
     zbl = {0768.14008},
     mrnumber = {1183915},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.61/}
}
TY  - JOUR
AU  - Ted Chinburg
TI  - Galois structure of de Rham cohomology
JO  - Journal de théorie des nombres de Bordeaux
PY  - 1992
SP  - 1
EP  - 18
VL  - 4
IS  - 1
PB  - Université Bordeaux I
UR  - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.61/
DO  - 10.5802/jtnb.61
LA  - en
ID  - JTNB_1992__4_1_1_0
ER  - 
%0 Journal Article
%A Ted Chinburg
%T Galois structure of de Rham cohomology
%J Journal de théorie des nombres de Bordeaux
%D 1992
%P 1-18
%V 4
%N 1
%I Université Bordeaux I
%U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.61/
%R 10.5802/jtnb.61
%G en
%F JTNB_1992__4_1_1_0
Ted Chinburg. Galois structure of de Rham cohomology. Journal de théorie des nombres de Bordeaux, Tome 4 (1992) no. 1, pp. 1-18. doi: 10.5802/jtnb.61

[C] Chinburg T., Galois structure of de Rham cohomology of tame covers of schemes, (To appear). | MR

[E-L] Ellingsrud G. and Lønsted K., An equivariant Lefschetz formula for finite reductive groups, Math. Ann., 251, 253 - 261 (1980). | MR | Zbl

[F] Fröhlich A., Galois Module Structure of Algebraic Integers, Heidelberg - New York - Tokyo: Springer - Verlag (1983). | MR | Zbl

[EGA 1] Grothendieck A. and Dieudonné J., Eléments de Géométrie Algebrique ( EGA I); Le language des schémas., Inst. Hautes Études Sci. Publ. Math. 4. | Numdam

[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. | Numdam

[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). | MR | Zbl

[H1] Hartshorne R., Algebraic Geometry., New York- Heidelberg- Berlin: Springer - Verlag (1977). | MR | Zbl

[H2] Hartshorne R., Residues and Duality., (Lect. Notes in Math, vol. 20). Berlin - Heidelberg - New York: Springer - Verlag (1966). | MR | Zbl

[L] Lang S., Algebraic Number Theory., U. S. A.: Addison Wesley (1970). | MR | Zbl

[M] Milne J., Étale Cohomology., Princeton, N. J.: Princeton Univ. Press (1980). | MR | Zbl

[N1] Nakajima S., Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties, J. Number Theory 22, 115 -123. | MR | Zbl

[N2] Nakajima S., On Galois module structure of the cohomology groups of an algebraic variety, Invent. Math. 75, 1 -8. | MR | Zbl

[S1] Serre J.-P., Corps Locaux (2nd ed.), Paris: Hermann (1968). | MR

[S2] Serre J.-P., Linear Representations of Finite Groups., New York - Heidelberg- Berlin: Springer - Verlag (1977). | MR | Zbl

[T] Taylor M.J., On Frõhlich's Conjecture for Rings of Integers of Tame Extensions, Invent. Math 63, 41 -79. | MR | Zbl

Cité par Sources :