On trivial zeros of Perrin-Riou's $L$-functions

Abstract

In the previous paper we generalized Greenberg's construction of the $\Cal L$-invariant to semistable representations. Here we prove that this construction is compatible with Perrin-Riou's theory of $p$-adic $L$-functions

arXiv comment37 pages

References in corpus (2)

• Limites de représentations cristallines
• p-adic families of Galois representations and higher rank Selmer groups

Cited by in corpus (2)

• On Euler systems of rank $r$ and their Kolyvagin systems
• A Generalization of Greenberg's $\Cal L$-invariant