Étude de la régularité analytique de l'application de réflexion CR formelle
Étude des jets de Demailly-Semple en dimension 3
Dans cet article nous faisons l’étude algébrique des jets de Demailly-Semple en dimension 3 en utilisant la théorie des invariants des groupes non réductifs. Cette étude fournit la caractérisation géométrique du fibré des jets d’ordre 3 sur une variété de dimension 3 et permet d’effectuer, par Riemann-Roch, un calcul de caractéristique d’Euler.
Étude du comportement du polynôme de Bernstein lors d’une déformation à constant de avec
Etude topologique des formes logarithmiques fermées.
Euler characteristics of moduli spaces of curves
Let be the moduli space of -pointed Riemann surfaces of genus . Denote by the Deligne-Mumford compactification of . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of for any and such that .
Every finitely presented group is the ...of some two dimensional Stein space.
Every Stein Subvariety Admits a Stein Neighborhood
Everywhere non reduced moduli spaces.
Evolution of subsets of and parabolic problem for the Levi equation
Exact Regularity of Bergman, Szegö and Sobolev Space Projections in Non Pseudoconvex Domains.
Exact regularity of the Bergman and Szegö projections on domains with partially transverse symmetries.
Exact subelliptic estimates for n - 1 forms.
Examples of compact holomorphic symplectic mainfolds which are not Kählerian II.
Examples of functions -extendable for each finite, but not -extendable
In Example 1, we describe a subset X of the plane and a function on X which has a -extension to the whole for each finite, but has no -extension to . In Example 2, we construct a similar example of a subanalytic subset of ; much more sophisticated than the first one. The dimensions given here are smallest possible.
Examples of string-theoretic Euler numbers.
Exceptional modular form of weight 4 on an exceptional domain contained in C27.
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multiples of 1/2, 1, 2, 4 for the Siegel, Hermitian, quaternion and exceptional cases, respectively. The θ-functions in the Siegel, Hermitian and quaternion cases provide examples of singular modular forms (Krieg [10]). Shimura [15] obtained a modular form of half-integral weight by analytically continuing an Eisenstein series. Bump and Bailey suggested the possibility of applying an analogue of Shimura's...
Existence and approximation Theorems on a Weakly 1-Complete Analytic Space.
Existence and Degeneration of Kähler-Einstein Metrics on Minimal Algebraic Varieties of General Type.
Existence and regularity of solutions of the -system on wedges of
For a wedge of , we introduce two conditions of weak -pseudoconvexity, and prove that they entail solvability of the -system for forms of degree with coefficients in and respectively. Existence and regularity for in is treated by Hörmander [5, 6] (and also by Zampieri [9, 11] in case of piecewise smooth boundaries). Regularity in is treated by Henkin [4] (strong -pseudoconvexity by the method of the integral representation), Dufresnoy [3] (full pseudoconvexity), Michel [8] (constant...
Existence domains for holomorphic Lp functions.
If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).