Duke Mathematical Journal

Tensor products in $p$-adic Hodge theory

Burt Totaro
Source: Duke Math. J. Volume 83, Number 1 (1996), 79-104.
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Primary Subjects: 14F30
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244248
Mathematical Reviews number (MathSciNet): MR1388844
Zentralblatt MATH identifier: 0873.14019
Digital Object Identifier: doi:10.1215/S0012-7094-96-08304-0

References

[1] P. Berthelot and A. Ogus, Notes on Crystalline Cohomology, Princeton University Press, Princeton, N.J., 1973.
Mathematical Reviews (MathSciNet): MR491705
Zentralblatt MATH: 0383.14010
[2] A. Borel, Automorphic $L$-functions, Automorphic Forms, Representations, and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, Proc. Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence, 1979, pp. 27–61.
Mathematical Reviews (MathSciNet): MR81m:10056
Zentralblatt MATH: 0412.10017
[3] A. Borel and J. Tits, Groupes réductifs, Inst. Hautes Études Sci. Publ. Math. (1965), no. 27, 55–150.
Mathematical Reviews (MathSciNet): MR34:7527
Zentralblatt MATH: 0145.17402
Digital Object Identifier: doi:10.1007/BF02684375
[4] G. Faltings, Crystalline cohomology and $p$-adic Galois-representations, Algebraic Analysis, Geometry, and Number Theory (Baltimore, MD, 1988), Johns Hopkins University Press, Baltimore, Md., 1989, pp. 25–80.
Mathematical Reviews (MathSciNet): MR98k:14025
Zentralblatt MATH: 0805.14008
[5] G. Faltings, Mumford-Stabilität in der algebraischen Geometrie, to appear in the 1994 ICM proceedings.
Mathematical Reviews (MathSciNet): MR1403965
[6] G. Faltings and G. Wüstholz, Diophantine approximations on projective spaces, Invent. Math. 116 (1994), no. 1-3, 109–138.
Mathematical Reviews (MathSciNet): MR95g:11068
Zentralblatt MATH: 0805.14011
Digital Object Identifier: doi:10.1007/BF01231559
[7] J.-M. Fontaine, Modules galoisiens, modules filtrés et anneaux de Barsotti-Tate, Journées de Géométrie Algébrique de Rennes. (Rennes, 1978), Vol. III, Astérisque, vol. 65, Soc. Math. France, Paris, 1979, pp. 3–80.
Mathematical Reviews (MathSciNet): MR82k:14046
Zentralblatt MATH: 0429.14016
[8] J.-M. Fontaine, Représentations $p$-adiques semi-stables, Astérisque (1994), no. 223, 113–184, Périodes $p$-adiques.
Mathematical Reviews (MathSciNet): MR95g:14024
Zentralblatt MATH: 0865.14009
[9] J.-M. Fontaine and G. Laffaille, Construction de représentations $p$-adiques, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 4, 547–608 (1983).
Mathematical Reviews (MathSciNet): MR85c:14028
Zentralblatt MATH: 0579.14037
[10] K. Kato, Semi-stable reduction and $p$-adic étale cohomology, Astérisque (1994), no. 223, 269–293.
Mathematical Reviews (MathSciNet): MR95i:14020
Zentralblatt MATH: 0847.14009
[11] G. Kempf, Instability in invariant theory, Ann. of Math. (2) 108 (1978), no. 2, 299–316.
Mathematical Reviews (MathSciNet): MR80c:20057
Zentralblatt MATH: 0406.14031
Digital Object Identifier: doi:10.2307/1971168
[12] G. Laffaille, Groupes $p$-divisibles et modules filtrés: le cas peu ramifié, Bull. Soc. Math. France 108 (1980), no. 2, 187–206.
Mathematical Reviews (MathSciNet): MR82i:14028
Zentralblatt MATH: 0453.14021
[13] Yu. I. Manin, Theory of commutative formal groups over fields of finite characteristic, Uspehi Mat. Nauk 18 (1963), no. 6 (114), 3–90.
Mathematical Reviews (MathSciNet): MR28:1200
Zentralblatt MATH: 0128.15603
[14] B. Mazur, Frobenius and the Hodge filtration (estimates), Ann. of Math. (2) 98 (1973), 58–95.
Mathematical Reviews (MathSciNet): MR48:297
Zentralblatt MATH: 0261.14005
Digital Object Identifier: doi:10.2307/1970906
[15] D. Mumford and J. Fogarty, Geometric Invariant Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], vol. 34, Springer-Verlag, New York, 1982.
Mathematical Reviews (MathSciNet): MR86a:14006
Zentralblatt MATH: 0504.14008
[16] M. Narasimhan and C. Seshadri, Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. (2) 82 (1965), 540–567.
Mathematical Reviews (MathSciNet): MR32:1725
Zentralblatt MATH: 0171.04803
Digital Object Identifier: doi:10.2307/1970710
[17] S. Ramanan and A. Ramanathan, Some remarks on the instability flag, Tôhoku Math. J. (2) 36 (1984), no. 2, 269–291.
Mathematical Reviews (MathSciNet): MR85j:14017
Zentralblatt MATH: 0567.14027
Digital Object Identifier: doi:10.2748/tmj/1178228852
Project Euclid: euclid.tmj/1178228852
[18] M. Rapoport and M. Richartz, On the classification and specialization of $F$-isocrystals with additional structure, to appear in Compositio Math.
Mathematical Reviews (MathSciNet): MR1411570
Zentralblatt MATH: 0874.14008
[19] M. Rapoport and T. Zink, Period Spaces for $p$-Divisible Groups, Princeton University Press, to appear.
Mathematical Reviews (MathSciNet): MR1393439
Zentralblatt MATH: 0873.14039
[20] B. Totaro, Tensor products of semistables are semistable, Geometry and Analysis on Complex Manifolds, World Scientific, River Edge, N.J., 1994, pp. 242–250.
Mathematical Reviews (MathSciNet): MR98k:14014
Zentralblatt MATH: 0873.14016

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