The question of extendability of the action of a cyclic group of automorphisms of a compact Riemann surface is considered. Particular attention is paid to those cases corresponding to Singerman's list of Fuchsian groups which are not nitely-maximal, and more generally to cases involving a Fuchsian triangle group. The results provide partial answers to the question of which cyclic groups are the...

The LEP investigation of the B 0 d and B 0 s oscillations and of the Cabibbo-Kobayashi-Maskawa matrix element |V ub | improve the constraints on the other elements of this matrix. From a fit to the experimental data and the theory calculations it is possible to determine the vertex of the unitarity triangle as:

This paper presents a new method for computing whether or not two triangles in three dimensions intersect. The code is very efficient and requires minimum arithmetic precision. Indeed, all branching decisions are carried out by evaluating the signs of degree three polynomials. In addition, an efficient test is proposed for the two-dimensional case. Key-words: geometric predicates, low degree pr...

We construct a Teichmüller curve uniformized by the Fuchsian triangle group ∆(m, n, ∞) for every m < n ≤ ∞. Our construction includes the Teichmüller curves constructed by Veech and Ward as special cases. The construction essentially relies on properties of hypergeometric differential operators. For small m, we find bil-liard tables that generate these Teichmüller curves. We interprete some of ...

This paper presents a fast algorithm for generating triangle strips from triangulated meshes, providing a compact representation suitable for transmission and rendering of the models. A data structure that allows efficient triangle strip generation is also described. The method is based on simple heuristics, significantly reducing the number of vertices used to describe the triangulated models....

We set a framework for the study of Hardy spaces inherited by complements analytic hypersurfaces in domains with prior space structure. The structure is filtration, various aspects which are studied specific settings. For punctured planar domains, we prove generalization famous rigidity lemma Kerzman and Stein. A stabilization phenomenon observed egg domains. Finally, using proper holomorphic m...