Bildgarben und Fasercohomologie für relativ analytische Räume.
Bilinear forms and extremal Kähler vector fields associated with Kähler classes.
Bi-Lipschitz trivialization of the distance function to a stratum of a stratification
Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.
Billards rationnels et espaces de Teichmüller
Binomial residues
A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of -hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with .
Birkhoff normal formsand analytic geometry
Bloch functions in several complex variables. II.
Bloch space on the unit ball of .
Bloch type spaces on the unit ball of a Hilbert space
We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.
Bloch-to-Hardy composition operators
Let φ be a holomorphic mapping between complex unit balls. We characterize those regular φ for which the composition operators C φ: f ↦ f ○ φ map the Bloch space into the Hardy space.
Blowing up in rigid analytic geometry.
BMO-scale of distribution on
Let be the class of tempered distributions. For we denote by the Bessel potential of of order . We prove that if , then for any , , where , . Also, we give necessary and sufficient conditions in order that the Bessel potential of a tempered distribution of order belongs to the space.
Bott-Chern Currents, Excess Normal Bundles and the Chern Character.
Boundaries of Levi-flat hypersurfaces: special hyperbolic points
Let S ⊂ ℂⁿ, n ≥ 3, be a compact connected 2-codimensional submanifold having the following property: there exists a Levi-flat hypersurface whose boundary is S, possibly as a current. Our goal is to get examples of such S containing at least one special 1-hyperbolic point: a sphere with two horns, elementary models and their gluings. Some particular cases of S being a graph are also described.
Boundary Analyticity of Proper Holomorphic Maps of Domains with Non-Analytic Boundaries.
Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ 0,1. The cases of other elliptic curves are either the same or trivial. Two proofs depending on elliptic functions’ special properties and Abelian differentials’ Taylor expansions are discussed, respectively. For a holomorphic family of hyperelliptic nodal or cuspidal curves...
Boundary Behavior of Meromorphic Maps.
Boundary Behavior of Proper Holomorphic Correspondences.
Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ
We study the boundary behaviour of holomorphic functions in the Hardy-Sobolev spaces , where is a smooth, bounded convex domain of finite type in ℂⁿ, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel-Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.
Boundary behaviour of invariant distances and complex geodesics
In questa Nota viene studiato il comportamento al bordo delle distanze di Carathéodory e Kobayashi in domini fortemente pseudoconvessi di classe . Come applicazione si dimostra che ogni geodetica complessa in tali domini è estendibile al bordo di classe .