On the de Rham-Witt complex attached to a semi-stable family

Osamu Hyodo

Compositio Mathematica (1991)

  • Volume: 78, Issue: 3, page 241-260
  • ISSN: 0010-437X

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Hyodo, Osamu. "On the de Rham-Witt complex attached to a semi-stable family." Compositio Mathematica 78.3 (1991): 241-260. <http://eudml.org/doc/90090>.

@article{Hyodo1991,
author = {Hyodo, Osamu},
journal = {Compositio Mathematica},
keywords = {-adic limit Hodge structure; semistable family; modified Hodge-Witt sheaf; modified de Rham-Witt complex; Poincaré duality},
language = {eng},
number = {3},
pages = {241-260},
publisher = {Kluwer Academic Publishers},
title = {On the de Rham-Witt complex attached to a semi-stable family},
url = {http://eudml.org/doc/90090},
volume = {78},
year = {1991},
}

TY - JOUR
AU - Hyodo, Osamu
TI - On the de Rham-Witt complex attached to a semi-stable family
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 78
IS - 3
SP - 241
EP - 260
LA - eng
KW - -adic limit Hodge structure; semistable family; modified Hodge-Witt sheaf; modified de Rham-Witt complex; Poincaré duality
UR - http://eudml.org/doc/90090
ER -

References

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  1. [De] P. Deligne, La conjecture de Weil. II, Publ. Math. IHES52 (1980), 137-252. Zbl0456.14014MR601520
  2. [Ek] T. Ekedahl, On the multiplicative properties of the de Rham-Witt complex I, Arkiv för Mat.22 (1984), 185-238. Zbl0575.14016MR765411
  3. [Fo] J.-M. Fontaine, Letter to U. Jannsen, dated Nov. 26, 1987. 
  4. [Ha] R. Hartshorne, Residues and duality, Springer LNM n°20 (1966). Zbl0212.26101MR222093
  5. [H1] O. Hyodo, A note on p-adic etale cohomology in the semi-stable reduction case, Invent. Math.91 (1988), 543-557. Zbl0619.14013MR928497
  6. [H2] O. Hyodo, A cohomological construction of Swan representation over the Witt ring. Preprint. Zbl0699.14026
  7. [I1] L. Illusie, Complexe de de Rham-Witt et cohomologie cristalline, Ann. Sci. Ec. Norm. Sup.12 (1979), 501-661. Zbl0436.14007MR565469
  8. [IR] L. Illusie et M. Raynaud, Les suites spectral associées au complexe de de Rham-Witt, Publ. Math. IHES57 (1983), 73-212. Zbl0538.14012MR699058
  9. [Ja] U. Jannsen, On the /-adic cohomology of varieties over number fields and its Galois cohomology. Preprint (1987). Zbl0703.14010
  10. [K1] K. Kato, The limit Hodge structure in the mixed characteristic case. Manuscript 1988. 
  11. [K2] K. Kato. In preparation. 

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