All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 747

Showing per page

𝒟 -modules micro-localement libres de rang 1 et connexions non-intégrables en dimension 2

Matthieu Carette (2002)

Annales de l’institut Fourier

Dans un article sur la transformation de Radon-Penrose, A. D’Agnolo et P. Schapira ont montré qu’au-dessus d’une variété complexe X de dimension ≥ 3 , tout ℰ ^ - module localement libre de rang 1 est de la forme ℰ ^ ⊗ π - 1 𝒪 π - 1 ℒ pour un fibré inversible ℒ sur X . Ce résultat est faux en dimension 2 , et le but de ce travail est de déterminer la structure des 𝒟 - modules micro-localement libres de rang 1 dans ce cas. Un des principaux résultat est la description des 𝒟 -modules micro-localement libres de rang un en termes...

A class of functions containing polyharmonic functions in ℝⁿ

V. Anandam, M. Damlakhi (2003)

Annales Polonici Mathematici

Some properties of the functions of the form v ( x ) = ∑ i = 0 m | x | i h i ( x ) in ℝⁿ, n ≥ 2, where each h i is a harmonic function defined outside a compact set, are obtained using the harmonic measures.

A cohomological Steinness criterion for holomorphically spreadable complex spaces

Viorel Vâjâitu (2010)

Czechoslovak Mathematical Journal

Let X be a complex space of dimension n , not necessarily reduced, whose cohomology groups H 1 ( X , 𝒪 ) , ... , H n - 1 ( X , 𝒪 ) are of finite dimension (as complex vector spaces). We show that X is Stein (resp., 1 -convex) if, and only if, X is holomorphically spreadable (resp., X is holomorphically spreadable at infinity). This, on the one hand, generalizes a known characterization of Stein spaces due to Siu, Laufer, and Simha and, on the other hand, it provides a new criterion for 1 -convexity.

A finiteness theorem for holomorphic Banach bundles

Jürgen Leiterer (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let E be a holomorphic Banach bundle over a compact complex manifold, which can be defined by a cocycle of holomorphic transition functions with values of the form id + K where K is compact. Assume that the characteristic fiber of E has the compact approximation property. Let n be the complex dimension of X and 0 ≤ q ≤ n . Then: If V → X is a holomorphic vector bundle (of finite rank) with H q ( X , V ) = 0 , then dim H q ( X , V ⊗ E ) < ∞ . In particular, if dim H q ( X , 𝒪 ) = 0 , then dim H q ( X , E ) < ∞ .

Currently displaying 1 – 20 of 747

Page 1 Next