On a variation of Mazur's deformation functor

Ravi Ramakrishna

Compositio Mathematica (1993)

  • Volume: 87, Issue: 3, page 269-286
  • ISSN: 0010-437X

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Ramakrishna, Ravi. "On a variation of Mazur's deformation functor." Compositio Mathematica 87.3 (1993): 269-286. <http://eudml.org/doc/90235>.

@article{Ramakrishna1993,
author = {Ramakrishna, Ravi},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {269-286},
publisher = {Kluwer Academic Publishers},
title = {On a variation of Mazur's deformation functor},
url = {http://eudml.org/doc/90235},
volume = {87},
year = {1993},
}

TY - JOUR
AU - Ramakrishna, Ravi
TI - On a variation of Mazur's deformation functor
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 87
IS - 3
SP - 269
EP - 286
LA - eng
UR - http://eudml.org/doc/90235
ER -

References

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  1. [B] Boston, N.: Deformation Theory of Galois Representations, Harvard Ph.D. thesis, 1987. 
  2. [Fa] Faltings, G.: Crystalline Cohomology and p-adic Galois Representations. In J. I. Igusa (ed.) Algebraic Analysis, Geometry and Number Theory, John Hopkins University Press, 1989, 25-80. Zbl0805.14008MR1463696
  3. [FoLa] Fontaine, J.M. and Lafaille, G.: Construction de représentations p-adiques, Ann. Sc. ENS15 (1982), 179-207. Zbl0579.14037MR707328
  4. [M1] Mazur, B.: Deforming Galois representations. In Y. Ihara, K. Ribet and J.-P. Serre (eds.) Proceedings of the March 1987 Workshop on "Galois Groups over Q ". MSRI, Berkeley, California, Zbl0714.11076
  5. [M2] Mazur, B.: Two-dimensional p-adic representations unramified away from p, Compositio Math.74 (1990), 114-134. Zbl0773.11036
  6. [R] Raynaud, M.: Schémas en Groupes de type (p, p ... p). Bull. Soc. Math. France102 (1974), 241-280. Zbl0325.14020MR419467
  7. [Sch] Schlessinger, M.: Functors of Artin rings, Trans. Amer. Math. Soc.130 (1968), 208-222. Zbl0167.49503MR217093
  8. [Se1] Serre, J. -P.: Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Inv. Math.15 (1972), 259-331. Zbl0235.14012MR387283
  9. [Se2] Serre, J.-P.: Sur les représentations modulaires de degré 2 de Gal(Q/Q), Duke Math. J.54 (1987), 179-230. Zbl0641.10026MR885783
  10. [Se3] Serre, J.-P.: Cohomologie Galoisienne, Lecture Notes in Mathematics No. 5, Springer-Verlag, 1964. Zbl0812.12002
  11. [S] Shatz, S.: Group schemes, formal groups and p-divisible groups. In (Cornell and Silverman eds.) Arithmetic Geometry, Springer Verlag, 1987. Zbl0603.14033MR861972

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