Displaying similar documents to “Recouvrements, derivation des mesures et dimensions.”

Faisceaux cohérents sur les courbes multiples.

Jean-Marc Drézet (2006)

Collectanea Mathematica

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This paper is devoted to the study of coherent sheaves on non reduced curves that can be locally embedded in smooth surfaces. If Y is such a curve then there is a filtration C ⊂ C ⊂ ... ⊂ C = Y such that C is the reduced curve associated to Y, and for very P ∈ C there exists z ∈ O such that (z) is the ideal of C in O. We define, using canonical filtrations, new invariants of coherent sheaves on Y: the and , and use them to state a for sheaves on Y. We define , which are locally isomorphic...

Sur l'intersection des courants laminaires.

Romain Dujardin (2004)

Publicacions Matemàtiques

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We try to find a geometric interpretation of the wedge product of positive closed laminar currents in C2. We say such a wedge product is geometric if it is given by intersecting the disks filling up the currents. Uniformly laminar currents do always intersect geometrically in this sense. We also introduce a class of strongly approximable laminar currents, natural from the dynamical point of view, and prove that such currents intersect geometrically provided they have continuous potentials. ...

Sur l'irréductibilité dans l'anneau des séries de Dirichlet analytiques.

Frédéric Bayart, Augustin Mouze (2005)

Publicacions Matemàtiques

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We discuss some local analytic properties of the ring of Dirichlet series. We obtain mainly the equivalence between the irreducibility in the analytic ring and in the formal one. In the same way we prove that the ring of analytic Dirichlet series is integrally closed in the ring of formal Dirichlet series. Finally we introduce the notion of standard basis in these rings and we give a finitely generated ideal which does not admit standard bases.

Applications holomorphes de domaines disqués non bornés.

Jean-Jacques Loeb (2006)

Publicacions Matemàtiques

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We give several extensions to unbounded domains of the following classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domains of Cn which fixes the origin is a linear map. In our paper, pseudo-convexity plays a main role. Some precise study is done for the case of dimension two and the case where one of the domains is Cn.

Déformation localisée de surfaces de Riemann.

Peter Haïssinsky (2005)

Publicacions Matemàtiques

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Let Y be a Riemann surface with compact boundary embedded into a hyperbolic Riemann surface of finite type X. It is proved that the space of deformations D of Y into X is an open subset of the Teichmüller space T(X) of X. Furthermore, D has compact closure if and only if Y is simply connected or isomorphic to a punctured disk, and D= T(X) if and only if the components of X Y are all disks or punctured disks.

Sur la théorie du potentiel dans les domaines de John.

Alano Ancona (2007)

Publicacions Matemàtiques

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Using rather elementary and direct methods, we first recover and add on some results of Aikawa-Hirata-Lundh about the Martin boundary of a John domain. In particular we answer a question raised by these authors. Some applications are given and the case of more general second order elliptic operators is also investigated. In the last parts of the paper two potential theoretic results are shown in the framework of uniform domains or the framework of hyperbolic manifolds.

Poches de tourbillon singulières dans un fluide faiblement visqueux.

Taoufik Hmidi (2006)

Revista Matemática Iberoamericana

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In this paper, we study the singular vortex patches in the two-dimensional incompressible Navier-Stokes equations. We show, in particular, that if the initial vortex patch is C outside a singular set Σ, so the velocity is, for all time, lipschitzian outside the image of Σ through the viscous flow. In addition, the correponding lipschitzian norm is independent of the viscosity. This allows us to prove some results related to the inviscid limit for the geometric structures of the vortex...

Sur la structure du groupe d'automorphismes de certaines surfaces affines.

Stéphane Lamy (2005)

Publicacions Matemàtiques

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We describe the structure of the group of algebraic automorphisms of the following surfaces 1) P1,k x P1,k minus a diagonal; 2) P1,k x P1,k minus a fiber. The motivation is to get a new proof of two theorems proven respectively by L. Makar-Limanov and H. Nagao. We also discuss the structure of the semi-group of polynomial proper maps from C2 to C2.

Point fixe d'une application non contractante.

Pierre Gilles Lemarié-Rieusset (2006)

Revista Matemática Iberoamericana

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We study a multilinear fixed-point equation in a closed ball of a Banach space where the application is 1-Lipschitzian: existence, uniqueness, approximations, regularity.

Rigidité de quelques groupes de germes de difféomorphismes.

Frédéric Touzet (2003)

Publicacions Matemàtiques

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Using the description of non solvable dynamics by Nakai, we give in this paper a new proof of the rigidity properties of some sub-groups of Diff(C, O). The Cinfinity case is also considered here.