Étale fundamental groups of non-archimedean analytic spaces
Displaying 41 – 60 of 175
Existence de filtrations admissibles sur des isocristaux
Jean-Marc Fontaine, Michael Rapoport (2005)
Bulletin de la Société Mathématique de France
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
Yutaka Sueyoshi (1990)
Acta Arithmetica
Families of -divisible groups with constant Newton polygon.
Oort, Frans, Zink, Thomas (2002)
Documenta Mathematica
Finite locally free group schemes in characteristic p and Dieudonné modules.
A.J. de Jong (1993)
Inventiones mathematicae
Formal -modules over -adic integer rings
Lawrence H. Cox (1974)
Compositio Mathematica
Formal and rigid geometry. III. The relative maximum principle.
S. Bosch, W. Lütkebohmert, M. Raynaud (1995)
Mathematische Annalen
Formal and rigid geometry. IV. The Reduced Fibre Theorem.
S. Bosch, W. Lütkebohmert, M. Raynaud (1995)
Inventiones mathematicae
Formal group law homomorphisms over .
Keating, Kevin (2009)
The New York Journal of Mathematics [electronic only]
Formal group laws for certain formal groups arising from modular curves
Enric Nart (1993)
Compositio Mathematica
Formal groups and L-series.
Christopher Deninger, Enric Nart (1990)
Commentarii mathematici Helvetici
Formal groups and stable homotopy of commutative rings.
Schwede, Stefan (2004)
Geometry & Topology
Formal groups and the Galois module structure of local rings of integers.
M.J. Taylor (1985)
Journal für die reine und angewandte Mathematik
Formal Groups and Zeta-Functions of Elliptic Curves.
W.L. Hill (1971)
Inventiones mathematicae
Formal groups arising from algebraic varieties
M. Artin, B. Mazur (1977)
Annales scientifiques de l'École Normale Supérieure
Formal Groups Attached to Elliptic Modular Forms
Takayuki Oda (1980)
Inventiones mathematicae
Formal groups in genus two.
David Grant (1990)
Journal für die reine und angewandte Mathematik
Formes Différentielles et Modules de Tate des Variétés Abéliennes sur les Corps Locaux.
Jean-Marc Fontaine (1981/1982)
Inventiones mathematicae
Galois characters associated to formal -modules
Kevin Keating (1988)
Compositio Mathematica
Galois extensions of height-one commuting dynamical systems
Ghassan Sarkis, Joel Specter (2013)
Journal de Théorie des Nombres de Bordeaux
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...