Companion Points on the Eigenvariety with Non-Regular Weights

Abstract

Abstract We prove the existence of all companion points on the eigenvariety of definite unitary groups associated with generic crystalline Galois representations with possibly non-regular weights under the Taylor–Wiles hypothesis, based on the previous results of Breuil–Hellmann–Schraen [8] in regular cases and the author in [33] in non-regular cases.