A generalization of Greenberg's L-invariant

D Benois - American journal of mathematics, 2011 - muse.jhu.edu
Using the theory of $(\phi,\Gamma) $-modules we generalize Greenberg's construction of
the $\cal {L} $-invariant to $ p $-adic representations which are semistable at $ p $.\This …

An explicit formula for the Hilbert symbol of a formal group

F Tavares Ribeiro - Annales de l'Institut Fourier, 2011 - numdam.org
Let p be a prime number and K a finite extension of Qp with residue field k. Fix K an
algebraic closure of K and note GK= Gal (K/K) the absolute Galois group of K. Let us …

Iwasawa theory and p-adic L-functions over -extensions

D Loeffler, SL Zerbes - arXiv preprint arXiv:1108.5954, 2011 - arxiv.org
In this paper, we define a two-variable analogue of Perrin-Riou's p-adic regulator map for
the Iwasawa cohomology of a crystalline representation of the absolute Galois group of …