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Hyperideal polyhedra in hyperbolic manifolds
Jean-Marc Schlenker
Let $(M, \dr M)$ be a 3-manifold with incompressible boundary that admits a convex co-compact hyperbolic metric. We consider the hyperbolic metrics on such that $\dr M$ looks l…
Torus actions and automorphism groups of singularities of integrable dynamical systems
Nguyen Tien Zung
We show that in the neighborhood of each ``finite type'' singular orbit of a real analytic integrable dynamical system (hamiltonian or not) there is a real analytic torus action wh…
Systèmes aux q-différences singuliers réguliers: solutions canoniques, classification, matrice de connexion et monodromie
Jacques Sauloy
G.D. Birkhoff extended the classical Riemann-Hilbert problem for differential equations to the case of ``fuchsian'' linear -difference systems with rational coefficients. He sol…
La filtration canonique par les pentes d'un module aux q-différences et le gradué associé
Jacques Sauloy
We show that the Newton polygon of a linear q-difference equation depends only on the corresponding q-difference module. We interpret the classical results of convergent factorisat…