摘要 : Let l>3 be a prime. Fix a regular character chi of F-l2(x) of order less than or equal tol-1, and an integer M prime to l. Let f is an element of S-2(Gamma(0)(Ml(2))) be a newform which is supercuspidal of type chi at l. For an in... 展开 Let l>3 be a prime. Fix a regular character chi of F-l2(x) of order less than or equal tol-1, and an integer M prime to l. Let f is an element of S-2(Gamma(0)(Ml(2))) be a newform which is supercuspidal of type chi at l. For an indefinite quaternion algebra over Q of discriminant dividing the level of f, there is a local quaternionic Hecke algebra T of type chi associated to f. The algebra T acts on a quaternionic cohomological module M. We construct a Taylor-Wiles system for M, and prove that T is the universal object for a deformation problem (of type chi at l and semi-stable outside) of the Galois representation (ρ) over bar (f) over (F) over bar (l) associated to f; that T is complete intersection and that the module M is free of rank 2 over T. We deduce a relation between the quaternionic congruence ideal of type chi for f and the classical one. [References: 39] 收起