2011/05/04 by Morita, Kazuma
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1105.0847
For a semi-stable representation V, we will construct a subspace Dπ-Sen(V) of Cp⊗QpV endowed with a linear derivation ∇(π). The action of ∇(π) on Dπ-Sen(V) is closely related to the action of the monodromy operator N on Dst(V). Furthermore, in the geometric case, the action of ∇(π) on Dπ-Sen(V) describes an analogy of the infinitesimal variations of Hodge structures and satisfies formulae similar to the Griffiths transversality and the local monodromy theorem.