Étale fundamental groups of non-archimedean analytic spaces
Existence de filtrations admissibles sur des isocristaux
Soit un isocristal devecteur de Newton. On associe à une filtration de sonvecteur de Hodge. Si estadmissible (i.e. est faiblement admissible en tant qu’isocristal filtré), alors . Réciproquement, on démontre qu’étant donné avec , il existe une filtration admissible de avec . On en déduit, à l’aide d’un théorème de Laffaille, l’existence d’un réseau dans de type . On donne aussi une variante pour un groupe quasi-déployé quelconque.
Explicit reciprocity laws on relative Lubin-Tate groups
Families of -divisible groups with constant Newton polygon.
Finite locally free group schemes in characteristic p and Dieudonné modules.
Formal -modules over -adic integer rings
Formal and rigid geometry. III. The relative maximum principle.
Formal and rigid geometry. IV. The Reduced Fibre Theorem.
Formal group law homomorphisms over .
Formal group laws for certain formal groups arising from modular curves
Formal groups and L-series.
Formal groups and stable homotopy of commutative rings.
Formal groups and the Galois module structure of local rings of integers.
Formal Groups and Zeta-Functions of Elliptic Curves.
Formal groups arising from algebraic varieties
Formal Groups Attached to Elliptic Modular Forms
Formal groups in genus two.
Formes Différentielles et Modules de Tate des Variétés Abéliennes sur les Corps Locaux.
Galois characters associated to formal -modules
Galois extensions of height-one commuting dynamical systems
We consider a dynamical system consisting of a pair of commuting power series under composition, one noninvertible and another nontorsion invertible, of height one with coefficients in the -adic integers. Assuming that each point of the dynamical system generates a Galois extension over the base field, we show that these extensions are in fact abelian, and, using results from the theory of the field of norms, we also show that the dynamical system must include a torsion series. From an earlier...