On the moduli of quasi-canonical liftings

Jiu-Kang Yu

Compositio Mathematica (1995)

  • Volume: 96, Issue: 3, page 293-321
  • ISSN: 0010-437X

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Yu, Jiu-Kang. "On the moduli of quasi-canonical liftings." Compositio Mathematica 96.3 (1995): 293-321. <http://eudml.org/doc/90365>.

@article{Yu1995,
author = {Yu, Jiu-Kang},
journal = {Compositio Mathematica},
keywords = {separable extension of local ground field; formal modules; Lubin-Tate moduli space; Newton polygon; period map; canonical lifting},
language = {eng},
number = {3},
pages = {293-321},
publisher = {Kluwer Academic Publishers},
title = {On the moduli of quasi-canonical liftings},
url = {http://eudml.org/doc/90365},
volume = {96},
year = {1995},
}

TY - JOUR
AU - Yu, Jiu-Kang
TI - On the moduli of quasi-canonical liftings
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 96
IS - 3
SP - 293
EP - 321
LA - eng
KW - separable extension of local ground field; formal modules; Lubin-Tate moduli space; Newton polygon; period map; canonical lifting
UR - http://eudml.org/doc/90365
ER -

References

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  1. 1 Drinfeld, V.G.: Elliptic modules, Math. USSR, Sb. (1974) 23, 561-592. Zbl0321.14014MR384707
  2. 2 Drinfeld, V.G.: Coverings of p-adic symmetric regions, Func. Anal. and Appl.10 (1976) 29-40. Zbl0346.14010MR422290
  3. 3 Fujiwara, Y.: On Divisibilities of special values of real analytic Eisenstein series, J. Fac. Sci. Univ. Tokyo35 (1988) 393-410. Zbl0669.10049MR945885
  4. 4 Gross, B.: On canonical and quasi-canonical liftings, Invent. Math.84 (1986) 321-326. Zbl0597.14044MR833193
  5. 5 Gross, B. and Hopkins, M.: The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory (to appear). Zbl0857.55003
  6. 6 Gross, B. and Hopkins, M.: Equivariant vector bundles on the Lubin-Tate moduli space (to appear). 
  7. 7 Hazewinkel, M.: Formal groups and applications, Academic Press, 1978. Zbl0454.14020MR506881
  8. 8 Keating, K.: Galois extensions associated to deformations of formal A-modules, J. Fac. Sci. Univ. Tokyo37 (1990) 151-170. Zbl0732.14022MR1049024
  9. 9 Lubin, J.: Canonical subgroups of formal groups, Trans. Ann. Math. Soc.251 (1979) 103-127. Zbl0431.14014MR531971
  10. 10 Lubin, J.: Finite subgroups and isogenies of one-parameter formal lie groups, Ann. Math.85 (1967) 296-302. Zbl0166.02803MR209287
  11. 11 Lubin, J. and Tate, J.: Formal complex multiplication in local fields, Ann. Math.81 (1965) 380-387. Zbl0128.26501MR172878
  12. 12 Lubin, J. and Tate, J.: Formal moduli for one-parameter formal Lie groups, Bull. Soc. Math. Fr.94 (1966) 49-60. Zbl0156.04105MR238854
  13. 13 Lubin, J., Serre, J.-P. and Tate, J.: Elliptic curves and formal groups, Seminar at Woods Hole Institute on algebraic geometry 1964. 
  14. 14 Serre, J.: Local field, GTM 67, Springer-Verlag (1979). Zbl0423.12016
  15. 15 Shimura, G.: Introduction to the arithmetic theory of automorphic functions, Publ. of the Math. Soc. of Japan11 (1971). Zbl0221.10029MR314766
  16. 16 Tatevossian, L.: Canonical liftings of formal modules, Proceedings of the 1985 Montreal Conference on Number Theory, CMS Conference Proceedings 7 (1987) 457-483. Zbl0635.14019MR894334

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