Nearly ordinary deformations of irreducible residual representations

C.M. Skinner; Andrew J. Wiles

Annales de la Faculté des sciences de Toulouse : Mathématiques (2001)

  • Volume: 10, Issue: 1, page 185-215
  • ISSN: 0240-2963

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Skinner, C.M., and Wiles, Andrew J.. "Nearly ordinary deformations of irreducible residual representations." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.1 (2001): 185-215. <http://eudml.org/doc/73538>.

@article{Skinner2001,
author = {Skinner, C.M., Wiles, Andrew J.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {1},
pages = {185-215},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Nearly ordinary deformations of irreducible residual representations},
url = {http://eudml.org/doc/73538},
volume = {10},
year = {2001},
}

TY - JOUR
AU - Skinner, C.M.
AU - Wiles, Andrew J.
TI - Nearly ordinary deformations of irreducible residual representations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2001
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 1
SP - 185
EP - 215
LA - eng
UR - http://eudml.org/doc/73538
ER -

References

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  1. [C] Carayol ( H.). — "Formes modulaires et représentations Galoisiennes à valeurs dans un anneau local complet" in p-Adic Monodromy and the Birch-Swinnerton-Dyer Conjecture (eds. B. Mazur and G. Stevens), Contemp. Math., vol. 165, 1994. Zbl0812.11036MR1279611
  2. [D1] Diamond ( F.). - "On deformation rings and Hecke rings". Ann. of Math. (2), 144 (1996), no. 1, pp. 137-166. Zbl0867.11032MR1405946
  3. [D2] Diamond ( F.). — "The refined conjecture of Serre" in Elliptic Curves, Modular forms, and Fermat's Last Theorem (ed. J. Coates), International Press, Cambridge, MA, 1995. Zbl0853.11031MR1363493
  4. [D3] Diamond ( F.). - "The Taylor-Wiles construction and multiplicity one". Invent. Math.128, (1997), no. 2, pp. 379-391. Zbl0916.11037MR1440309
  5. [F] Fujiwara ( K.). - "Deformation rings and Hecke algebras in the totally real case" preprint (1999). 
  6. [H1] Hida ( H.). - "On nearly ordinary Hecke algebras for GL(2) over totally real fields" in Algebraic number theory, Adv. Stud. Pure Math., 17, Academic Press (1989) pp. 139-169. Zbl0742.11026MR1097614
  7. [H2] Hida ( H.). — "Nearly ordinary Hecke algebras and Galois representations of several variables" in Algebraic analysis, geometry, and number theory (Baltimore, MD1988), John Hopkins Univ. Press, (1989) pp. 115-134. Zbl0782.11017MR1463699
  8. [M1] Mazur ( B.). - "Deforming Galois representations" in Galois Groups over Q, vol. 16, MSRI Publications, Springer, (1989). Zbl0714.11076MR1012172
  9. [M2] Mazur ( B.). - "An introduction to the deformation theory of Galois representations" in Modular Forms and Fermat's Last Theorem (eds. G. Cornell et al.), Springer-Verlag, New York, 1997. Zbl0901.11015MR1638481
  10. [SW1] Skinner ( C.), Wiles ( A.). - "Modular forms and residually reducible representations." Publ. Math. IHES, 89 (1999), pp. 5-126. Zbl1005.11030MR1793414
  11. [SW2] Skinner ( C.), Wiles ( A.). — "Base change and a problem of Serre" (to appear in Duke Math. J.) Zbl1016.11017MR1815248
  12. [TW] Taylor ( R.), Wiles ( A.). - "Ring-theoretic properties of certain Hecke algebras". Ann. of Math. (2)141 (1995), no. 3, pp. 553-572. Zbl0823.11030MR1333036
  13. [W] Wiles ( A.). - "Modular elliptic curves and Fermat's Last Theorem". Ann. of Math. (2), 142 (1995), pp. 443-551. Zbl0823.11029MR1333035

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