Équation de Cauchy-Riemann dans les ellipsoïdes réels de
Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton
Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel
Équations différentielles à points singuliers irréguliers en dimension 2
Equianalytic and equisingular families of curves on surfaces.
Equidistribution estimates for Fekete points on complex manifolds
We study the equidistribution of Fekete points in a compact complex manifold. These are extremal point configurations defined through sections of powers of a positive line bundle. Their equidistribution is a known result. The novelty of our approach is that we relate them to the problem of sampling and interpolation on line bundles, which allows us to estimate the equidistribution of the Fekete points quantitatively. In particular we estimate the Kantorovich–Wasserstein distance of the Fekete points...
Equidistribution towards the Green current
Let be a dominating rational mapping of first algebraic degree . If is a positive closed current of bidegree on with zero Lelong numbers, we show – under a natural dynamical assumption – that the pullbacks converge to the Green current . For some families of mappings, we get finer convergence results which allow us to characterize all -invariant currents.
Equidistribution towards the Green current for holomorphic maps
Let be a non-invertible holomorphic endomorphism of a projective space and its iterate of order . We prove that the pull-back by of a generic (in the Zariski sense) hypersurface, properly normalized, converges to the Green current associated to when tends to infinity. We also give an analogous result for the pull-back of positive closed -currents and a similar result for regular polynomial automorphisms of .
Équidistribution vers le courant de Green
We establish an equidistribution result for the pull-back of a (1,1)-closed positive current in ℂ² by a proper polynomial map of small topological degree. We also study convergence at infinity on good compactifications of ℂ². We make use of a lemma that enables us to control the blow-up of some integrals in the neighborhood of a big logarithmic singularity of a plurisubharmonic function. Finally, we discuss the importance of the properness hypothesis, and we give some results in the case where this...
Equilibria and Stability in Set-Valued Analysis: a Viability Approach
Equilibrium measures for holomorphic endomorphisms of complex projective spaces
Let f: ℙ → ℙ be a holomorphic endomorphism of a complex projective space , k ≥ 1, and let J be the Julia set of f (the topological support of the unique maximal entropy measure). Then there exists a positive number such that if ϕ: J → ℝ is a Hölder continuous function with , then ϕ admits a unique equilibrium state on J. This equilibrium state is equivalent to a fixed point of the normalized dual Perron-Frobenius operator. In addition, the dynamical system is K-mixing, whence ergodic. Proving...
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.
Equisingular generic discriminants and Whitney conditions
The purpose of this article is to show that the Whitney conditions are satisfied for complex analytic families of normal surface singularities for which the generic discriminants are equisingular. According to J. Briançon and J. P. Speder the constancy of the topological type of a family of surface singularities does not imply Whitney conditions in general. We will see here that for a family of minimal normal surface singularities these two equisingularity conditions are equivalent.
Équisingularité générique des familles de surfaces à singularité isolée
Équisingularité réelle II : invariants locaux et conditions de régularité
On définit, pour un germe d’ensemble sous-analytique, deux nouvelles suites finies d’invariants numériques. La première a pour termes les localisations des courbures de Lipschitz-Killing classiques, la seconde est l’équivalent réel des caractéristiques évanescentes complexes introduites par M. Kashiwara. On montre que chaque terme d’une de ces suites est combinaison linéaire des termes de l’autre, puis on relie ces invariants à la géométrie des discriminants des projections du germe sur des plans...
Équisingularité réelle : nombres de Lelong et images polaires
Équivalence de deux fibrations pour les formes logarithmiques.
The object of this work is to generalize to the germs of Pfaffian logarithmic forms, the two equivalent descriptions of the J. Milnor’s fibre that is wellknown for the germs of holomorphic functions.
Equivalence of analytic and rational functions
We give a criterion for a real-analytic function defined on a compact nonsingular real algebraic set to be analytically equivalent to a rational function.
Equivalence of differentiable mappings and analytic mappings
Equivalence of Regularity for the Bergman Projection and the ...-Neumann operator.