3 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
Log-crystalline representations and -modules
Abhinandan, Denis Benois
Let be an absolutely unramified mixed characteristic local field with rings of integers . For a small affine algebra over , we consider the logarithmic étale fund…
Arithmetic of critical -adic -functions
Denis Benois, Kâzım Büyükboduk
Our objective in the present work is to develop a fairly complete arithmetic theory of critical -adic -functions on the eigencurve. To this end, we carry out the following ta…
On extra-zeros of p-adic Rankin-Selberg L-functions
Denis Benois, Stéphane Horte
We prove a version of the Extra-zero conjecture formulated by the first named author for p-adic L-functions associated to Rankin-Selberg convolutions of modular forms of the same w…
On trivial zeros of Perrin-Riou's -functions
Denis Benois
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 Perri…
A Generalization of Greenberg's $\Cal L$-invariant
Denis Benois
Using the theory of -modules we generalizes Greenberg's construction of the $\Cal L$-invariant to semistable representations