Extensions of rank one (phi, Gamma)-modules and crystalline representations

Abstract

Let K be a finite unramified extension of Q_p. We parametrize the (phi, Gamma)-modules corresponding to reducible two-dimensional mod p representations of G_K and characterize those which have reducible crystalline lifts with certain Hodge-Tate weights.

Final version. To Appear in Compositio Math

References in corpus (1)

• On Serre's conjecture for mod l Galois representations over totally real fields

Cited by in corpus (4)

• Explicit Serre weights for two-dimensional Galois representations
• Serre weights and wild ramification in two-dimensional Galois representations
• Dieudonne crystals and Wach modules for p-divisible fgroups
• Serre weights for locally reducible two-dimensional Galois representations