Abstract We study threefolds Y fibred by $$A_m$$ A m -surfaces over a curve S of positive genus. An ideal triangulation defines, for each rank m , quiver $$Q(\Delta _m)$$ Q ( Δ ) ...

In this paper we consider generalized moment functions of higher order. These are closely related to the well-known binomial type which have been investigated on various abstract structures. our former properties order commutative groups. particular, proved characterization a group as product an exponential and composition multivariate Bell polynomial sequence additive functions. present contin...

Expanded version of a talk given in Tel Aviv, Israel, 22 March 2001. To trivialize the proof of meromorphic continuation of Eisenstein series, we want to use only standard facts, together with Bernstein’s formulation of a continuation principle. In particular, one should prove meromorphic continuation as a vector-valued function, from which one infers that the continuation is of moderate growth...

Let F+θ be a k-graph on a single vertex. We show that every irreducible atomic ∗-representation is the minimal ∗-dilation of a group construction representation. It follows that every atomic representation decomposes as a direct sum or integral of such representations. We characterize periodicity of F+θ and identify a symmetry subgroup Hθ of Z. If this has rank s, then C(Fθ ) ∼= C(T) ⊗ A for so...

In this series of two papers, we prove the p-adic meromorphic continuation of the pure slope L-functions arising from the slope decomposition of an overconvergent Fcrystal, as conjectured by Dwork [6]. More precisely, we prove a suitable extension of Dwork’s conjecture in our more general setting of σ-modules, see section 2 for precise definitions of the various notions used in this introductio...

In this paper a Lefschetz formula is proved for the geodesic flow of a compact locally symmetric space. The flow is described in terms of actions of split tori of various dimensions and the geometric side of the Lefschetz formula is a sum over closed geodesics which correspond to a given torus. The cohomological side is given in terms of Lie algebra cohomology.

(2) the product H × H of 2 hyperbolic planes. In short, among all the symmetric spaces of noncompact type with rank ≥ 2, there are only two manifolds that are minimal with respect to the partial order defined by totally geodesic embeddings. Our main theorem provides an analogue of this result for noncompact finitevolume spaces that are locally symmetric, rather than globally symmetric, but, in ...

We show that strong approximate lattices in higher-rank semi-simple algebraic groups are arithmetic.