The Mordell–Lang conjecture describes the intersection of a finitely generated subgroup with a closed subvariety of a semiabelian variety. Equivalently, this conjecture describes the intersection of closed subvarieties with the set of images of the origin under a finitely generated semigroup of translations. We study the analogous question in which the translations are replaced by algebraic gro...

In this paper, we describe an example of a hyperkähler quotient of a Banach manifold by a Banach Lie group. Although the initial manifold is not diffeomorphic to a Hilbert manifold (not even to a manifold modelled on a reflexive Banach space), the quotient space obtained is a Hilbert manifold, which can furthermore be identified either with the cotangent space of a connected component Gr res of...

We introduce a new approach for manually constructing broad-coverage lexical ressources based on a specific type of lexical network called lexical system. Drawing on experience gained from the construction of the French Lexical Network (fr-LN), we begin by formally characterizing lexical systems as “small-world” graphs of lexical units that are primarily organized around the system of Meaning-T...

RÉSUMÉ La simplification lexicale consiste à remplacer des mots ou des phrases par leur équivalent plus simple. Dans cet article, nous présentons trois modèles de simplification lexicale, fondés sur différents critères qui font qu’un mot est plus simple à lire et à comprendre qu’un autre. Nous avons testé différentes tailles de contextes autour du mot étudié : absence de contexte avec un modèle...

In this paper, we describe an example of a hyperkähler quotient of a Banach manifold by a Banach Lie group. Although the initial manifold is not diffeomorphic to a Hilbert manifold (not even to a manifold modelled on a reflexive Banach space), the quotient space obtained is a Hilbert manifold, which can be furthermore identified either with the cotangent space of a connected component Gr res, (...

The title compound, sodium dioxidomolybdenum(VI) arsenate(V), β-NaMoO(2)AsO(4), was prepared by solid-state reaction at 953 K. In the crystal structure, the AsO(4) tetra-hedra and MoO(6) octa-hedra (both with m symmetry) share corner atoms to form a three-dimensional framework that delimits cavities parallel to [010] where disordered six-coordinated sodium cations (half-occupation) are located....

Let E be a generic real submanifold of an almost complex manifold. The geometry of Bishop discs attached to E is studied in terms of the Levi form of E. Résumé. Nous étudions la géométrie des disques de Bishop attachés à une sous-variété réelle générique d’une variété presque complexe. MSC: 32H02, 53C15.

RÉSUMÉ. Ce travail décrit le processus de classification d’un ensemble d’adjectifs décrivant des traits de personnalité dans la liste des facettes de la taxonomie NEO PI-R, en relation avec le Modèle des Cinq Facteurs (FFM– Five Factor Model). Le processus de classification est fondé sur des mots-la sémantique lexicale exprimée par les couples ‘synset-gloses’ attachés aux motsadjectifs dans la ...