arXiv:math/0504388v2 [math.NT] 18 Jul 2005 Page 1 arXiv:math/0504388v2 [math.NT] 18 Jul
2005 SUR LA RÉDUCTION DES REPRÉSENTATIONS CRISTALLINES DE DIMENSION 2 …

We compute reduction $\bar\rho $ of 3-dimensional irreducible crystalline representations
$\rho $ of $ G_ {\mathbb Q_p} $ with Hodge-Tate weights $\{0, r, s\} $ satisfying $2\leq r\leq p …

Let p> 2 be a prime. Let ρ be a crystalline representation of GQp with distinct Hodge-Tate
weights in [0, p], such that its reduction ρ is upper triangular. Under certain conditions, we …

We consider the family of irreducible crystalline representations of dimension 2 of Gal (ℚ ̄
p∕ ℚ p) given by the V k, ap for a fixed weight k≥ 2. We study the locus of the parameter ap …

Nous conjecturons que la réduction modulo des représentations cristallines irréductibles de
dimension 2 sur peut être prédite par la réduction modulo. Nous explicitons quelques …

Let p> 2 be prime. We use purely local methods to determine the possible reductions of
certain two-dimensional crystalline representations, which we call pseudo-Barsotti–Tate …

We study the mod p reduction of crystalline local Galois representations of dimension 2.
Berger showed that for a fixed non-zero trace of the Frobenius, the reduction process is …

We construct an explicit sequence of crystalline representations converging to a given
irreducible two-dimensional semi-stable representation of $\mathrm {Gal}({\overline …

We determine rational Kisin modules associated with 2-dimensional, irreducible, crystalline
representations of of Hodge–Tate weights. If the slope is larger than, we further identify an …

Irreducible crystalline representations of dimension 2 of are all twists of some
representations which depend on two parameters, the weight k and the trace of the …