Structures lisses

Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lisses

We show that the moduli stacks of smooth complete intersections in P polarized by O(1) are separated (except for quadrics) and Deligne–Mumford (apart from a few exceptions).

Modélisation géométrique de surfaces lisses: Design et Fairing. (Geometric modeling of smooth surfaces: Design and Fairing)

A piecewise quintic G1 spline surface interpolating the vertices of a triangular surface mesh of arbitrary topological type is presented. The surface has an explicit triangular Bézier representation, is affine invariant and has local support. The twist compatibility problem which arises when joining an even number of polynomial patches G1 continuously around a common vertex is solved by constru...

Maillages de volumes bornés par des surfaces lisses par morceaux. (Meshing Volumes bounded by Piecewise Smooth Surfaces)

On Generalized Weak Structures

Avila and Molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures r...

dirac structures

in this paper we introduce the concept of dirac structures on (hermitian) modules and vectorbundles and deduce some of their properties. among other things we prove that there is a one to onecorrespondence between the set of all dirac structures on a (hermitian) module and the group of allautomorphisms of the module. this correspondence enables us to represent dirac structures on (hermitian)mod...