F -crystals on schemes with constant log structure

Arthur Ogus

Compositio Mathematica (1995)

  • Volume: 97, Issue: 1-2, page 187-225
  • ISSN: 0010-437X

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Ogus, Arthur. "$F$-crystals on schemes with constant log structure." Compositio Mathematica 97.1-2 (1995): 187-225. <http://eudml.org/doc/90375>.

@article{Ogus1995,
author = {Ogus, Arthur},
journal = {Compositio Mathematica},
keywords = {Witt ring; log structure; hollow log structure; crystalline cohomology; comparison theorem; fine saturated log schemes; Weil-Deligne group},
language = {eng},
number = {1-2},
pages = {187-225},
publisher = {Kluwer Academic Publishers},
title = {$F$-crystals on schemes with constant log structure},
url = {http://eudml.org/doc/90375},
volume = {97},
year = {1995},
}

TY - JOUR
AU - Ogus, Arthur
TI - $F$-crystals on schemes with constant log structure
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 97
IS - 1-2
SP - 187
EP - 225
LA - eng
KW - Witt ring; log structure; hollow log structure; crystalline cohomology; comparison theorem; fine saturated log schemes; Weil-Deligne group
UR - http://eudml.org/doc/90375
ER -

References

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  1. 1 Pierre Berthelot and Arthur Ogus.Notes on Crystalline Cohomology. Annals of Mathematics Studies. Princeton University Press, 1978. Zbl0383.14010MR491705
  2. 2 Pierre Berthelot and Arthur Ogus.F-isocrystals and de Rham cohomology I. Inventiones Mathematicae, 72:159-199, 1983. Zbl0516.14017MR700767
  3. 3 Gilles Christol.Un théorème de transfert pout les disques singuliers réguliers. In Cohomologie P-adique, volume 119-120 of Astérisque, pages 151-168. Société Mathématique de France, 1984. Zbl0553.12014MR773091
  4. 4 Pierre Deligne.Les constantes des équations des fonctions L. In Modular Funcions of One Variable II, volume 349 of Lecture Notes in Mathematics, pages 501-597. Springer, 1972. Zbl0271.14011MR349635
  5. 5 Pierre Deligne.Valeurs de fonctions L et périodes d'intégrales. Proceedings of Symposia in Pure Mathematics, 33(part 2):313-346, 1979. Zbl0449.10022MR546622
  6. 6 Gerd Faltings.Crystalline cohomology of semi-stable curves and p-adic Galois representations. preprint. Zbl0805.14008
  7. 7 J.-M. Fontaine.Représentations l-adiques potentiellement semi-stables. Astérisque, 223:321-347, 1994. Zbl0873.14020MR1293977
  8. 8 Osamu Hyodo and Kazuya Kato.Semi-stable reduction and crystalline cohomology with logarithmic poles. Astérisque, 223:209-220, 1994. Zbl1043.11532MR1293974
  9. 9 Kazuya Kato.Logarithmic Dieudonné theory. preprint. Zbl0776.14004
  10. 10 Kazuya Kato.Logarithmic structures of Fontaine-Illusie. In Jun-Ichi Igusa, editor, Algebraic Analysis, Geometry, and Number Theory. Johns Hopkins University Press, 1989. Zbl0776.14004MR1463703
  11. 11 Kazuya Kato.Semi-stable reduction and p-adic étale cohomology. Astérisque, 223:269-294, 1994. Zbl0847.14009MR1293975
  12. 12 Arthur Ogus.F-isocrystals and de Rham cohomology II-convergent isocrystals. Duke Mathematical Journal, 51(4):765-850, 1984. Zbl0584.14008MR771383
  13. 13 Arthur Ogus.The convergent topos in characteristic p. In The Grothendieck Festshrift, volume III, pages 133-162. Birkausher, 1990. Zbl0728.14020MR1106913
  14. 14 Arthur Ogus.F-Crystals, Griffiths transversality, and the Hodge decomposition, volume 221 of Astérisque. Société Mathématique de France, 1994. Zbl0801.14004MR1280543
  15. 15 Joseph Steenbrink.Limits of Hodge structures. Inv. Math., 31:229-257, 1976. Zbl0303.14002MR429885
  16. 16 John Tate.Rigid analytic spaces. Inv. Math., 12:257-289, 1971. Zbl0212.25601MR306196

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