Infinitesimal deformations and the $\ell$-invariant

Denis Benois (1)

1 IMB - Institut de Mathématiques de Bordeaux

We give a formula for the generalized Greenberg's $\ell$-invariant which was constructed in our previous paper in terms of derivatives of eigenvaloues of Frobenius.

Mots clés: p-adic representation; (φ; Γ)-module; L-function

Domaines: Théorie des nombres [math.NT]

Denis Benois. Infinitesimal deformations and the $\ell$-invariant. Documenta Mathematica, 2010, Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010), pp.5-31. ⟨hal-00992300⟩