On the p adic nearby cycles of log smooth families

Takeshi Tsuji

Bulletin de la Société Mathématique de France (2000)

  • Volume: 128, Issue: 4, page 529-575
  • ISSN: 0037-9484

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Tsuji, Takeshi. "On the $p$ adic nearby cycles of log smooth families." Bulletin de la Société Mathématique de France 128.4 (2000): 529-575. <http://eudml.org/doc/87839>.

@article{Tsuji2000,
author = {Tsuji, Takeshi},
journal = {Bulletin de la Société Mathématique de France},
keywords = {-adic nearby cycles; syntonic complex; crystalline cohomology; log scheme},
language = {eng},
number = {4},
pages = {529-575},
publisher = {Société mathématique de France},
title = {On the $p$ adic nearby cycles of log smooth families},
url = {http://eudml.org/doc/87839},
volume = {128},
year = {2000},
}

TY - JOUR
AU - Tsuji, Takeshi
TI - On the $p$ adic nearby cycles of log smooth families
JO - Bulletin de la Société Mathématique de France
PY - 2000
PB - Société mathématique de France
VL - 128
IS - 4
SP - 529
EP - 575
LA - eng
KW - -adic nearby cycles; syntonic complex; crystalline cohomology; log scheme
UR - http://eudml.org/doc/87839
ER -

References

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  10. [Ka2] KATO (K.). — Logarithmic structures of Fontaine-Illusie, in Algebraic analysis, geometry, and number theory, J. I. Igusa ed., Johns Hopkins University Press, Baltimore, 1989, p. 191-224. Zbl0776.14004MR99b:14020
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  12. [Ka4] KATO (K.). — Toric singularities, Amer. J. Math., t. 116, 1994, p. 1073-1099. Zbl0832.14002MR95g:14056
  13. [Ka5] KATO (K.). — The explicit reciprocity law and the cohomology of Fontaine-Messing, Bull. Soc. Math. France, t. 119, 1991, p. 397-441. Zbl0752.14015MR92k:11068
  14. [Ka-M] KATO (K.), MESSING (W.). — Syntomic cohomology and p-adic étale cohomology, Tôhoku Math. J., t. 44, 1992, p. 1-9. Zbl0792.14008MR93b:14035
  15. [Ku] KURIHARA (M.). — A note on p-adic étale cohomology, Proc. Japan Academy, t. 63, 1987, p. 275-278. Zbl0647.14006MR89b:14026
  16. [KKMS] KEMPF (G.), KNUDSEN (F.), MUMFORD (D.), SAINT-DONAT (B.). — Toroidal embeddings, I. — Lecture Notes in Math. 339, Springer. Zbl0271.14017
  17. [SD] SAINT-DONAT (B.). — Théorie des topos et cohomologie étale des schémas (SGA4), exposé Vbis. — Lecture Notes in Math. 270, Springer, 1972. 
  18. [T1] TSUJI, (T.). — Syntomic complexes and p-adic vanishing cycles, J. reine angew. Math., t. 472, 1996, p. 69-138. Zbl0838.14015MR98a:14032
  19. [T2] TSUJI, (T.). — p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case, Invent. Math., t. 137, 1999, p. 233-411. Zbl0945.14008MR2000m:14024
  20. [T3] TSUJI, (T.). — Saturated morphisms of logarithmic schemes, preprint. 

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