Canonical liftings of jacobians

B. Dwork; A. Ogus

Compositio Mathematica (1986)

  • Volume: 58, Issue: 1, page 111-131
  • ISSN: 0010-437X

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Dwork, B., and Ogus, A.. "Canonical liftings of jacobians." Compositio Mathematica 58.1 (1986): 111-131. <http://eudml.org/doc/89761>.

@article{Dwork1986,
author = {Dwork, B., Ogus, A.},
journal = {Compositio Mathematica},
keywords = {moduli space; principally polarized abelian variety; crystalline cohomology; canonical lifting; Jacobian of an ordinary curve},
language = {eng},
number = {1},
pages = {111-131},
publisher = {Martinus Nijhoff Publishers},
title = {Canonical liftings of jacobians},
url = {http://eudml.org/doc/89761},
volume = {58},
year = {1986},
}

TY - JOUR
AU - Dwork, B.
AU - Ogus, A.
TI - Canonical liftings of jacobians
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 1
SP - 111
EP - 131
LA - eng
KW - moduli space; principally polarized abelian variety; crystalline cohomology; canonical lifting; Jacobian of an ordinary curve
UR - http://eudml.org/doc/89761
ER -

References

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  1. [1] Berthelot, P. and Ogus, A.: Notes on Crystalline Cohomology. Math. Notes Vol. 21, Princeton University Press (1978). Zbl0383.14010MR491705
  2. [2] Berthelot, P. and Ogus, A.: F-isocrystals and De Rham cohomology, I. Invent. Math.72 (1983) 150-199. Zbl0516.14017MR700767
  3. [3] Deligne, P.: Equations Differentielles à Points Singuliers Reguliers. Lecture Notes in Math., Vol. 163, Springer-Verlag, 1970). Zbl0244.14004MR417174
  4. [4] Deligne, P.: letter to Shafarevich (1976). 
  5. [5] Deligne, P. and Ilusie, L.: Cristaux ordinaires et coordonnées canoniques. In Surfaces Algébriques, Lecture Notes in Math., Vol. 868, Springer-Verlage (1981). Zbl0537.14012MR638599
  6. [6] Deligne, P.: Mumford, D.: The irreducibility of the space of curves of a given genus. Publ. Math . I.H.E.S.36 (1969) 75-110. Zbl0181.48803MR262240
  7. [7] Dwork, B.: Normalized period matrices, II. Annals of Math.98 (1973) 1-57. Zbl0265.14008MR396580
  8. [8] Katz, N.: Algebraic solutions of differential equations: p-curvature and the Hodge filtration. Invent. Math.18 (1972) 1-118. Zbl0278.14004MR337959
  9. [9] Katz, N.: Slopes filtration of F-crystals. Asterisque63 (1979) 113-164. Zbl0426.14007MR563463
  10. [10] Katz, N.: Nilpotent connections and the monodromy theorem: applications of a result of Turrittin. Publ. Math. I.H.E.S.39 (1971) 175-232. Zbl0221.14007MR291177
  11. [11] Messing, W.: The Crystals Associated to Barsotti Tate Groups. Lecture Notes in Math., Vol. 264, Springer-Verlag (1972). Zbl0243.14013MR347836
  12. [12] Miller, L.: Curves over finite fields with invertible Hasse-Witte matrices. Math. Annalen197 (1972). Zbl0235.14009
  13. [13] Oort, F. and Sekiguchi, T.: The canonical lifting of an ordinary Jacobian variety need not be a Jacobian variety (preprint). Zbl0605.14031MR845711
  14. [14] Serre, J-P.: Sur la topologie des varietes algebriques en caracteristique p. Symp. Int. de Topologia Algebraica, Mexico (1958) 24-53. Zbl0098.13103MR98097
  15. [15] Serre, J-P. and Tate, J.: mimeographed notes from the 1964 AMS Summer Institute at Woods Hole. 
  16. [16] St. Donat, B.: On Petri's analysis of the linear system of quadrics through a curve. Math. Annalen206 (1973) 157-175. Zbl0315.14010MR337983

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