On weighted Bergman kernels of bounded domains
We build on work by Z. Pasternak-Winiarski [PW2], and study a-Bergman kernels of bounded domains for admissible weights .
On weights which admit the reproducing kernel of Bergman type.
One attempt to the modular function I
One-dimensional infinitesimal-birational duality through differential operators
The structure of filtered algebras of Grothendieck's differential operators on a smooth fat point in a curve and graded Poisson algebras of their principal symbols is explicitly determined. A related infinitesimal-birational duality realized by a Springer type resolution of singularities and the Fourier transformation is presented. This algebro-geometrical duality is quantized in appropriate sense and its quantum origin is explained.
Opérateurs différentiels d'ordre infini dans des espaces de fonctions entières
Opérateurs différentiels sur des cônes normaux de dimension 2
Opérateurs différentiels sur les espaces analytiques.
Opérateurs pseudo-différentiels définis en un point
We introduce the notion of pseudo-differential operators defined at a point and we establish a canonical one-to-one correspondence between such an operator and its symbol. We also prove the invertibility theorem for special type operators.
Operator theory and the Carathéodory metric.
Operator-Valued Positive Definite Kernels on Tubes.
Optimal destabilizing vectors in some Gauge theoretical moduli problems
We prove that the well-known Harder-Narsimhan filtration theory for bundles over a complex curve and the theory of optimal destabilizing -parameter subgroups are the same thing when considered in the gauge theoretical framework.Indeed, the classical concepts of the GIT theory are still effective in this context and the Harder-Narasimhan filtration can be viewed as a limit object for the action of the gauge group, in the direction of an optimal destabilizing vector. This vector appears as an extremal...
Optimal error of analytic continuation from a finite set with inaccurate data in Hilbert spaces of holomorphic functions.
Optimal Lipschitz estimates for the equation on a class of convex domains
Optimal Lp estimates for the ...-equation on complex ellipsoids in Cn.
Optimal Quadrature Algorithms in Hp Spaces.
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface (II).
In [6], orbifold G-bundles on a certain class of elliptic fibrations over a smooth complex projective curve X were related to parabolic G-bundles over X. In this continuation of [6] we define and investigate holomorphic connections on an orbifold G-bundle over an elliptic fibration.
Orbifold Riemann surfaces and the Yang-Mills-Higgs equations
Orbifolds, special varieties and classification theory
This article gives a description, by means of functorial intrinsic fibrations, of the geometric structure (and conjecturally also of the Kobayashi pseudometric, as well as of the arithmetic in the projective case) of compact Kähler manifolds. We first define special manifolds as being the compact Kähler manifolds with no meromorphic map onto an orbifold of general type, the orbifold structure on the base being given by the divisor of multiple fibres. We next show that rationally connected Kähler...
Orbifolds, special varieties and classification theory: an appendix
For any compact Kähler manifold and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in , the existence of a meromorphic quotient is known from Inv. Math. 63 (1981). We give here a simplified and detailed proof of the existence of such quotients, following the approach of that paper. These quotients are used in one of the two constructions of the core of given in the previous paper of this fascicule, as well as in many other questions.
Orbifold-Uniformizing Differential Equations.