Duality theories for p -primary etale cohomology II

Kazuya Kato

Compositio Mathematica (1987)

  • Volume: 63, Issue: 2, page 259-270
  • ISSN: 0010-437X

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Kato, Kazuya. "Duality theories for $p$-primary etale cohomology II." Compositio Mathematica 63.2 (1987): 259-270. <http://eudml.org/doc/89862>.

@article{Kato1987,
author = {Kato, Kazuya},
journal = {Compositio Mathematica},
keywords = {étale cohomology; duality theorems; characteristic p; dualizing complex; relatively perfect schemes},
language = {eng},
number = {2},
pages = {259-270},
publisher = {Martinus Nijhoff Publishers},
title = {Duality theories for $p$-primary etale cohomology II},
url = {http://eudml.org/doc/89862},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Kato, Kazuya
TI - Duality theories for $p$-primary etale cohomology II
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 2
SP - 259
EP - 270
LA - eng
KW - étale cohomology; duality theorems; characteristic p; dualizing complex; relatively perfect schemes
UR - http://eudml.org/doc/89862
ER -

References

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  1. 1 P. Berthelot and A. Ogus: Notes on crystalline cohomology. Princeton University (1978). Zbl0383.14010MR491705
  2. 2 L. Breen: Extensions du groupe additif. Publ. Math. IHES.48 (1978) 39-126. Zbl0404.14018MR516914
  3. 3 T. Ekedahl: On the multiplicative properties of the de Rham-Witt complex I. Artiv för Mat.22 (1984) 185-239. Zbl0575.14016MR765411
  4. 4 Hartshorne: Residue and duality. Lecture Notes in Math.20. Springer (1966). Zbl0212.26101
  5. 5 L. Illusie: Complexe de de Rham-Witt et cohomologie cristalline. Ann. Sci. E.N.S. 12 (1979) 501-661. Zbl0436.14007MR565469
  6. 6 L. Illusie and M. Raynaud: Les suite spectrales associées au complexe de de Rham-Witt. Publ. Math. IHES.57 (1983) 73-212. Zbl0538.14012MR699058
  7. 7 K. Kato: A generalization of local class field theory by using K-groups, III. J. Fac. Sci. Univ. of Tokyo, Sec. IA 29 (1982) 31-43. Zbl0503.12004MR657870
  8. 8 K. Kato: Duality theories for the p-primary etale cohomology, Algebraic and topological theoriesI. Kinokuniya (1985) 127-148. Zbl0800.14009MR1102256
  9. 9 J.S. Milne: Duality in the flat cohomology of a surface, Ann. Sci. E.N.S. 9 (1976) 171-202. Zbl0334.14010MR460331
  10. 10 J.S. Milne: Values of zeta functions of varieties over finite fields. Amer. J. Math.108 (1986) 297-360. Zbl0611.14020MR833360
  11. 11 M. Artin, A. Grothendieck and J.L. Verdier: Théorie des topos et cohomologies etale des schémas (SGA 4), tome 1. Lecture Notes in Math.269. Springer. Zbl0234.00007
  12. 12 M. Gros and N. Suwa: Application d'Abel-Jacobi p-adique et cycles algébriques, preprint. Zbl0697.14005

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