168
L. Illusie, Frobenius et d´ eg´ en´ erescence de Hodge
[I2]
L. Illusie, Complexe de De Rham-Witt et cohomologie cristalline, Ann. ENS 12
(1979), 501-661.
[I3]
L. Illusie, Cat´ egories d´ eriv´ ees et dualit´ e, travaux de J.-L. Verdier, L’enseignement
math´ ematique 36 (1990), 369-391.
[I4]
L. Illusie, Crystalline Cohomology, Proc. Symp. Pure Math. 55 Part I (1994), 43-70.
[I5]
L. Illusie, R´ eduction semi-stable et d´ ecomposition de complexes de De Rham `
a
coefficients, Duke math. J. 60 (1990), 139-185.
[I6]
L. Illusie, Logarithmic spaces (according to K. Kato), in Barsotti Symposium in
Algebraic Geometry (V. Cristante and W. Messing, Eds.), Perspectives in Math.
15, 183-203, Academic Press (1994).
[I7]
L. Illusie, D´ eformations de groupes de Barsotti-Tate, in S´ eminaire sur les pinceaux
arithm´ etiques : la conjecture de Mordell (L. Szpiro, ed.), Ast´ erisque 127, SMF 1985,
151-198.
[K1]
N. Katz, Nilpotent Connections and the Monodromy Theorem, Pub. Math. IHES
39 (1970), 175-232.
[K2]
N. Katz, The regularity theorem in algebraic geometry, Actes Cong. Int. Math. Nice
(1970) I, 437-443, Gauthiers-Villars (1971).
[Ka1]
K. Kato, On p-adic vanishing cycles (applications of ideas of Fontaine-Messing),
Advanced studies in Pure Math. 10 (1987), 207-251.
[Ka2]
K. Kato, Logarithmic structures of Fontaine-Illusie, Algebraic Analysis, Geometry
and Number Theory, The Johns Hopkins Univ. Press (1989), 191-224.
[KAN]
K. Kodaira, On a differential-geometric method in the theory of analytic stacks,
Proc. Nat. Ac. Sc. USA 39 (1953), 1268-1273.
[L]
W. Lang, Examples of Liftings of Surfaces and a Problem in de Rham Cohomology,
preprint (1994).
[M]
D. Mumford, Semi-stable reduction, in Toroidal Embeddings I (G. Kempf, F.
Knudsen, D. Mumford, and B. Saint-Donat eds.), Lecture Notes in Math. 339,
Springer-Verlag 1973, 53-108.
[Me-Ra]
V. B. Mehta and A. Ramanathan, Frobenius splitting and cohomology vanishing for
Schubert varieties, Ann. Math. 122 (1985), 27-40.
[Me-Sr]
V. B. Mehta and V. Srinivas, Varieties in positive characteristic with trivial tangent
bundle (with an appendix by M. V. Nori and V. Srinivas, Canonical liftings),
Compos. Math. 64 (1987), 191-212.
[Na]
Y. Nakkajima, Liftings of Frobenius over W 2 and ordinary logarithmic schemes,
preprint, Dept of Math. Sciences, Tokyo, 1994.
[O]
J. Oesterl´ e, D´ eg´ en´ erescence de la suite spectrale de Hodge vers De Rham (d’apr` es
Deligne et Illusie), S´ eminaire Bourbaki n ◦ 673 (1986-87), Ast´ erisque 152-153 (1987),
67-83.
[Og1]
A. Ogus, Frobenius and the Hodge filtration, in Notes on Crystalline Cohomology
(by P. Berthelot and A. Ogus), Math. Notes 21, Princeton Univ. Press (1978).
[Og2]
A. Ogus, F -crystals, Griffiths transversality, and the Hodge decomposition, Ast´ erisque 221, SMF (1994).
[Oo]
F. Oort, Finite group schemes, local moduli for abelian varieties and lifting problems,
Proc. 5th Nordic Summer School, Walters-Noordhoff (1970), 223-254.
[Ram]
C. P. Ramanujam, Remarks on the Kodaira Vanishing theorem, J. Indian Math.
Soc. 36 (1972), 41-51 ; 38 (1974), 121-124.
[S]
J.-P. Serre, Corps locaux, Hermann (1962).
[Se-Ta]
J.-P. Serre and J. Tate, Good reduction of abelian varieties, Ann. Math. 88 (1968),
492-517.
[Sr]
V. Srinivas, Decomposition of the De Rham complex, Proc. Indian Acad. Sci. (Math.
Sci.), 100, n ◦ 2 (1990), 103-106.
[St]
J. Steenbrink, Limits of Hodge structures, Inv. Math. 31 (1976), 229-257.
L. Illusie, Frobenius et d´ eg´ en´ erescence de Hodge
[I2]
L. Illusie, Complexe de De Rham-Witt et cohomologie cristalline, Ann. ENS 12
(1979), 501-661.
[I3]
L. Illusie, Cat´ egories d´ eriv´ ees et dualit´ e, travaux de J.-L. Verdier, L’enseignement
math´ ematique 36 (1990), 369-391.
[I4]
L. Illusie, Crystalline Cohomology, Proc. Symp. Pure Math. 55 Part I (1994), 43-70.
[I5]
L. Illusie, R´ eduction semi-stable et d´ ecomposition de complexes de De Rham `
a
coefficients, Duke math. J. 60 (1990), 139-185.
[I6]
L. Illusie, Logarithmic spaces (according to K. Kato), in Barsotti Symposium in
Algebraic Geometry (V. Cristante and W. Messing, Eds.), Perspectives in Math.
15, 183-203, Academic Press (1994).
[I7]
L. Illusie, D´ eformations de groupes de Barsotti-Tate, in S´ eminaire sur les pinceaux
arithm´ etiques : la conjecture de Mordell (L. Szpiro, ed.), Ast´ erisque 127, SMF 1985,
151-198.
[K1]
N. Katz, Nilpotent Connections and the Monodromy Theorem, Pub. Math. IHES
39 (1970), 175-232.
[K2]
N. Katz, The regularity theorem in algebraic geometry, Actes Cong. Int. Math. Nice
(1970) I, 437-443, Gauthiers-Villars (1971).
[Ka1]
K. Kato, On p-adic vanishing cycles (applications of ideas of Fontaine-Messing),
Advanced studies in Pure Math. 10 (1987), 207-251.
[Ka2]
K. Kato, Logarithmic structures of Fontaine-Illusie, Algebraic Analysis, Geometry
and Number Theory, The Johns Hopkins Univ. Press (1989), 191-224.
[KAN]
K. Kodaira, On a differential-geometric method in the theory of analytic stacks,
Proc. Nat. Ac. Sc. USA 39 (1953), 1268-1273.
[L]
W. Lang, Examples of Liftings of Surfaces and a Problem in de Rham Cohomology,
preprint (1994).
[M]
D. Mumford, Semi-stable reduction, in Toroidal Embeddings I (G. Kempf, F.
Knudsen, D. Mumford, and B. Saint-Donat eds.), Lecture Notes in Math. 339,
Springer-Verlag 1973, 53-108.
[Me-Ra]
V. B. Mehta and A. Ramanathan, Frobenius splitting and cohomology vanishing for
Schubert varieties, Ann. Math. 122 (1985), 27-40.
[Me-Sr]
V. B. Mehta and V. Srinivas, Varieties in positive characteristic with trivial tangent
bundle (with an appendix by M. V. Nori and V. Srinivas, Canonical liftings),
Compos. Math. 64 (1987), 191-212.
[Na]
Y. Nakkajima, Liftings of Frobenius over W 2 and ordinary logarithmic schemes,
preprint, Dept of Math. Sciences, Tokyo, 1994.
[O]
J. Oesterl´ e, D´ eg´ en´ erescence de la suite spectrale de Hodge vers De Rham (d’apr` es
Deligne et Illusie), S´ eminaire Bourbaki n ◦ 673 (1986-87), Ast´ erisque 152-153 (1987),
67-83.
[Og1]
A. Ogus, Frobenius and the Hodge filtration, in Notes on Crystalline Cohomology
(by P. Berthelot and A. Ogus), Math. Notes 21, Princeton Univ. Press (1978).
[Og2]
A. Ogus, F -crystals, Griffiths transversality, and the Hodge decomposition, Ast´ erisque 221, SMF (1994).
[Oo]
F. Oort, Finite group schemes, local moduli for abelian varieties and lifting problems,
Proc. 5th Nordic Summer School, Walters-Noordhoff (1970), 223-254.
[Ram]
C. P. Ramanujam, Remarks on the Kodaira Vanishing theorem, J. Indian Math.
Soc. 36 (1972), 41-51 ; 38 (1974), 121-124.
[S]
J.-P. Serre, Corps locaux, Hermann (1962).
[Se-Ta]
J.-P. Serre and J. Tate, Good reduction of abelian varieties, Ann. Math. 88 (1968),
492-517.
[Sr]
V. Srinivas, Decomposition of the De Rham complex, Proc. Indian Acad. Sci. (Math.
Sci.), 100, n ◦ 2 (1990), 103-106.
[St]
J. Steenbrink, Limits of Hodge structures, Inv. Math. 31 (1976), 229-257.