Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves
Bernstein-Sato Polynomials and Spectral Numbers
In this paper we will describe a set of roots of the Bernstein-Sato polynomial associated to a germ of complex analytic function in several variables, with an isolated critical point at the origin, that may be obtained by only knowing the spectral numbers of the germ. This will also give us a set of common roots of the Bernstein-Sato polynomials associated to the members of a -constant family of germs of functions. An example will show that this set may sometimes consist of all common roots.
Beschränkte Integraloperatoren auf streng q-konvexen Gebieten in Cn.
Beschränkte Lösungen der Cauchy-Riemannschen Differentialgleichungen auf q-konkaven Gebieten.
Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains.
Bestimmungsflächen für des Randwachstum holomorpher Funktionen auf analytischen Polyedern
Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
We asymptotically estimate from above the expected Betti numbers of random real hypersurfaces in smooth real projective manifolds. Our upper bounds grow as the square root of the degree of the hypersurfaces as the latter grows to infinity, with a coefficient involving the Kählerian volume of the real locus of the manifold as well as the expected determinant of random real symmetric matrices of given index. In particular, for large dimensions, these coefficients get exponentially small away from...
Beweis des Satzes, dass eine einwerthige Function beliebig vieler Variabeln, welche überall als Quotient zweier Potenzreihen dargestellt werden kann, eine rationale Function ihrer Argumente ist.
Beweis des Satzes, dass eine einwerthige mehr als 2nfach periodische Function von n Veränderlichen unmöglich ist.
Beweis einer Vermutung von Hartshorne für den Fall homogener Mannigfaltigkeiten.
BGG resolutions via configuration spaces
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.
Big Picard theorems for holomorphic mappings into the complement of moving hypersurfaces in .
Biholomorphic domains with inequivalent boundaries.
Biholomorphic equivalence of bounded Reinhardt domains
Biholomorphic invariance of capacity and the capacity of an annulus
Biholomorphic invariants related to the Bergman functions [Book]
Biholomorphic Mappings and the Bergman kernel off the Diagonal.
Biholomorphic mappings between bounded domains in Cn.
Biholomorphic Mappings Between Certain Real Analytic Domains in C2.
Biholomorphic maps determined on the boundary
Let be a bounded domain in such that the boundary is topologically in with a regular point; let be a holomorphic map where is a neighborhood of . If is one-to-one when restricted to , then is biholomorphic.