-diffeomorphismen semianalytischer und subanalytischer Mengen
-conjugacy of holomorphic flows near a singularity
-estimates for the Cauchy-Riemann equations on certain weakly pseudoconvex domains
-estimates for the -equation on concave domains of finite type
estimates for convex domains of finite type in are known from [7] for and from [2] for . We want to show the same result for concave domains of finite type. As in the case of strictly pseudoconvex domain, we fit the method used in the convex case to the concave one by switching and in the integral kernel of the operator used in the convex case. However the kernel will not have the same behavior on the boundary as in the Diederich-Fischer-Fornæss-Alexandre work. To overcome this problem...
-regularity for the -equation on a piecewise smooth union of strictly pseudoconvex domains in
C*-actions.
C*-actions on Grassmann bundles and the cycle at infinity.
Calabi flow on toric varieties with bounded Sobolev constant, I
Let (X, P) be a toric variety. In this note, we show that the C0-norm of the Calabi flow φ(t) on X is uniformly bounded in [0, T) if the Sobolev constant of φ(t) is uniformly bounded in [0, T). We also show that if (X, P) is uniform K-stable, then the modified Calabi flow converges exponentially fast to an extremal Kähler metric if the Ricci curvature and the Sobolev constant are uniformly bounded. At last, we discuss an extension of our results to a quasi-proper Kähler manifold.
Calcul des résidus en analyse -adique
Calcul du nombre de cusps dans la déformation semi-universelle d'une singularité isolée d'hypersurface complexe
Calcul du nombre de cycles évanouissants d'une hypersurface complexe
Nous donnons une méthode pour calculer le nombre de cycles évanouissants d’une hypersurface complexe n’ayant pas nécessairement des singularités isolées.
Calcul exponentiel des opérateurs microdifférentiels d'ordre infini. II
Soit un opérateur pseudodifférentiel (ou microdifférentiel) tel que soit aussi un opérateur pseudodifférentiel. Alors le symbole de s’ecrit avec un symbole . Pour la réciproque, si est un opérateur à symbole , il existe un opérateur tel que . Tous ces résultats reposent sur la théorie développée dans la Note I de cette série. Comme application, on obtient une condition suffisante d’inversibilité pour les opérateurs pseudodifférentiels d’ordre infini.
Calcul exponentiel des opérateurs microdifférentiels d'ordre infini. I
Cet article s’intéresse au calcul symbolique des opérateurs microdifférentiels avec symboles exponentiels. On donne la loi de composition des symboles exponentiels. Comme application, on trouve une condition suffisante d’ellipticité pour les opérateurs microdifférentiels d’ordre infini.
Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces
In this paper we give a method for calculating the rank of a general elliptic curve over the field of rational functions in two variables. We reduce this problem to calculating the cohomology of a singular hypersurface in a weighted projective -space. We then give a method for calculating the cohomology of a certain class of singular hypersurfaces, extending work of Dimca for the isolated singularity case.
Calculation of Rozansky-Witten invariants on the Hilbert schemes of points on a K3 surface and the generalised kummer varieties.
Calculus inequalities derived from holomorphic Morse inequalities.
Canonical contact forms on spherical CR manifolds
We construct the CR invariant canonical contact form on scalar positive spherical CR manifold , which is the CR analogue of canonical metric on locally conformally flat manifold constructed by Habermann and Jost. We also construct another canonical contact form on the Kleinian manifold , where is a convex cocompact subgroup of and is the discontinuity domain of . This contact form can be used to prove that is scalar positive (respectively, scalar negative, or scalar vanishing) if and...
Canonical homotopy operators for the complex in strictly pseudoconvex domains
Canonical metrics on some domains of
The study of the existence and uniqueness of a preferred Kähler metric on a given complex manifold is a very important area of research. In this talk we recall the main results and open questions for the most important canonical metrics (Einstein, constant scalar curvature, extremal, Kähler-Ricci solitons) in the compact and the non-compact case, then we consider a particular class of complex domains in , the so-called Hartogs domains, which can be equipped with a natural Kaehler metric ....
Canonical models of surfaces of general type