Crystalline cohomology of semistable curve - The ℚ p-theory

Journal of Algebraic Geometry

Volumn 6, Issue 1, 1997, Pages 1-18

  Faltings, Gerd ^a  

^a MAX PLANCK INSTITUT FÜR MATHEMATIK   (Germany)

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EID: 21444461264     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. [D] V. G. Drinfeld, Coverings of p-adic symmetric regions, Functional Analysis and its Applications 10 (1976) 107-115.
2. [Fa1] G. Faltings, Hodge-Tate structures and modular forms, Math. Ann. 278 (1987) 133-149.
3. [Fa2] G. Faltings, p-adic Hodge theory, J. Amer. Math. Soc. 1 (1988) 255-299.
4. [Fa3] G. Fallings, Crystalline cohomology and p-adic Galois-representations, Algebraic Analysis, Geometry, and Number Theory (J. I. Igusa, ed.), Johns Hopkins University Press, Baltimore, 1989, pp. 25-80.
5. [Fa4] G. Faltings, F-isocrystals on open varieties. Results and conjectures, Grothendieck's 60th Birthday Festschrift, Birkhauser, Boston, 1990.
6. [Fa5] G. Faltings, Crystalline cohomology of semistable curves, and p-adic Galois-representations, J. Algebraic Geometry 1 (1992) 61-81.
7. [Fo1] J. M. Fontaine, Modules galoisiennes, modules filtrés, et anneaux de Barsotti-Tate, Aslérisque 65 (1979) 3-80.
8. [Fo2] J. M. Fonlaine, Sur certaines types de représentations p-adiques du groupe de Galois d'un corps local: Construction d'un anneau de Barsotti-Tate, Ann. of Math. (2) 115 (1982) 529-577.
9. [Fo3] J. M. Fontaine, Cohomologie de de Rham, cohomologie cristalline et représentations p-adiques, Lecture Notes in Math., Vol. 1016, Springr-Verlag, 1983, pp. 86-108.
10. [Fo4] J. M. Fontaine, Letter to Jannsen (dated Nov. 26th, 1987).
11. [FL] J. M. Fontaine and G. Lafaille, Constructions de représentations p-adiques, Ann. Sci. École Norm. Sup. 15 (1982) 547-608.
12. [FM] J. M. Fonlaine and W. Messing, p-adic periods and p-adic étale cohomology, Current Trends in Arithmetic Algebraic Geometry, Contemporary Mathematics, Vol. 67, Amer. Math. Soc., Providence, RI, 1987, pp. 179-207.
13. [Ha] M. Hazewinkel, Formal Groups and Applications, Academic Press, New York, 1978.
14. [Hy1] O. Hyodo, A note on p-adic étale cohomology in the semi-stable reduction case, Invent. Math. 91 (1988) 543-557.
15. [Hy2] O. Hyodo, On the de Rham-Witt complex attached to a semi-stable family, Compositio Mathematics 78 (1991) 241-260.
16. [HK] O. Hyodo and K. Kato, Semi-stable reduction and crystalline cohomology with logarithmic poles, preprint.
17. [K] K. Kato, Logarithmic Structures of Fontaine-Illusie, Algebraic Analysis, Geometry, and Number Theory (J. I. Igusa, ed.), Johns Hopkins University Press, Baltimore, 1989, pp. 191-224.
18. [KM] N. Katz and B. Mazur, Arithmetic moduli of elliptic curves, Princeton University Press, Princeton, NJ, 1985.
19. [MM] B. Mazur and W. Messing, Universal extensions and one-dimensional crystalline cohomology, Lecture Notes in Math., Vol. 370, Springer-Verlag, 1974.