Endomorphism algebras of complex tori.
Endomorphisms of symbolic algebraic varieties
The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or non-injective; this property is called surjunctivity and investigated in the present paper in the category of proregular mappings of proalgebraic spaces. We show that such maps are surjunctive if they commute with sufficiently large automorphism groups. Of particular interest is the case of proalgebraic varieties over infinite graphs. The paper intends to bring out relations between model theory,...
Ensembles semi-algébriques symétriques par arcs.
Entropy, homology and semialgebraic geometry
Equations for Endomorphisms of Abelian Varieties.
Equianalytic and equisingular families of curves on surfaces.
Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero
2000 Mathematics Subject Classification: 14B05, 32S25.The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern. In this paper we explore how it changes by blowing–up.* Supported by FQM 304 and BFM 2000–1523. ** Supported by FQM 218 and BFM 2001–3207.
Équisingularité générique des familles de surfaces à singularité isolée
Errata-Corrigé : «Contractions rationnelles des variétés algébriques»
Estimates of the number of rational mappings from a fixed variety to varieties of general type
First we find effective bounds for the number of dominant rational maps between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type , where , is the canonical bundle of and are some constants, depending only on .Then we show that for any variety there exist numbers and with the following properties:For any threefold of general type the number of dominant rational maps is bounded above by .The number of threefolds , modulo birational...
Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrodinger
On présente dans cet exposé une approche semi-classique déduite des résultats de N. Burq, P. Gérard et N. Tzvetkov [4] permettant de démontrer des inégalités de Strichartz pour un problème non captif. On retrouve ainsi des résultats de G. Staffilani et D. Tataru [16] (obtenus pour une perturbation de la métrique à support compact). On donne aussi des généralisations de ces résultats au cas d’une perturbation à longue portée
Étale fundamental groups of non-archimedean analytic spaces
Etale -covers in characteristic
Étude de certains éclatements
Examples of birationality of pluricanonical maps
Explicit resolution of local singularities of moduli-spaces.
Explicit resolutions of double point singularities of surfaces.
Locally analytically, any isolated double point occurs as a double cover of a smooth surface. It can be desingularized explicitly via the canonical resolution, as it is very well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singularity and we classify those for which the fundamental cycle differs from the fiber cycle. Moreover we compute the conditions that a double point singularity imposes to pluricanonical systems....
Extendability of differential forms on non-isolated singularities.
Extending extremal contractions from an ample section.
Extensions de valuation et polygone de Newton
Soient un corps valué et est une extension monogène finie de définie par , alors toute valuation de qui prolonge définit une pseudo-valuation de de noyau l’idéal . Nous savons associer à une famille de valuations de , appelée famille admissible, construite de façon explicite à partir de valuations augmentées et de valuations augmentées limites.Nous donnons une condition nécessaire et suffisante pour qu’une valuation de appartienne à la famille admissible associée à une pseudo-valuation...