Integral -structures of Wach modules. (-structures entières et modules de Wach.)
Integral representations associated with p-adic field extensions.
Lubin-Tate formal groups and module structure over Hopf orders
Over the last years Hopf orders have played an important role in the study of integral module structures arising in arithmetic geometry in various situations. We axiomatize these situations and discuss the properties of the (integral) Hopf algebra structures which are of interest in this general setting. In particular, we emphasize the role of resolvents for explicit computations. As an illustration we apply our results to determine the Hopf module structure of the ring of integers in relative Lubin-Tate...
New ramification breaks and additive Galois structure
Which invariants of a Galois -extension of local number fields (residue field of char , and Galois group ) determine the structure of the ideals in as modules over the group ring , the -adic integers? We consider this question within the context of elementary abelian extensions, though we also briefly consider cyclic extensions. For elementary abelian groups , we propose and study a new group (within the group ring where is the residue field) and its resulting ramification filtrations....
On a trivial zero problem.
On Galois isomorphisms between ideals in extensions of local fields.
On Waring's Problem in p-adic fields
Quasi-semi-stable representations
Fix a -adic field and denote by its absolute Galois group. Let be the extension of obtained by adding -th roots of a fixed uniformizer, and its absolute Galois group. In this article, we define a class of -adic torsion representations of , calledquasi-semi-stable. We prove that these representations are “explicitly” described by a certain category of linear algebraic objects. The results of this note should be considered as a first step in the understanding of the structure of quotient...
Relative Galois module structure of integers of local abelian fields
Représentations du groupe de Weil d’un corps local : conducteurs et facteurs
Representations modulo p associated with p-adic field extensions.
The Singularity Expansion Method applied to the transient motions of a floating elastic plate
In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called Singularity Expansion Method. This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles...
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