Results 61 to 70 of about 9,056,610 (112)

DOLBEAULT COHOMOLOGY AND DEFORMATIONS OF NILMANIFOLDS

open access: yes, 2006
In these notes I review some classes of invariant complex structures on nilmanifolds for which the Dolbeault cohomology can be computed by means of invariant forms, in the spirit of Nomizu’s theorem for de Rham cohomology.
Console, Sergio, Sergio Console
core  

Vanishing of the first Dolbeault cohomology group of line bundles on complete intersections in infinite -dimensional projective space

open access: yes, 2001
This dissertation is concerned with the first Dolbeault cohomology groups of line bundles on a submanifold X of finite codimension in infinite-dimensional projective space.
Kotzev, Boris Vasilev
core   +1 more source

On carleman formulas for the dolbeault cohomology

open access: yes, 2008
We discuss the Cauchy problem for the Dolbeault cohomology in a domain of C n with data on a part of the boundary. In this setting we introduce the concept of a Carleman function which proves useful in the study of uniqueness.
Tarkhanov, Nikolai Nikolaevich   +2 more
core  

Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology

open access: yes
International audienceWe define a transverse Dolbeault cohomology associated to any almost complex structure j on a smooth manifold M . This we do by extending the notion of transverse complex structure and by introducing a natural j-stable involutive ...
Gutt, Jean, Cahen, Michel, Gutt, Simone
core   +1 more source

Dolbeault cohomology of the Chinese coin

open access: yes, 2016
In C2, we study the Dolbeault cohomology of the annulus between the bidisc and a large ball. As an application, we get W 1 estimates for the Cauchy-Riemann equation in the bidisc.Non UBCUnreviewedAuthor affiliation: Central Michigan ...
Chakrabarti, Debraj
core   +1 more source

Pairings, duality, amenability and bounded cohomology

open access: yes, 2012
We give a new perspective on the homological characterisations of amenability given by Johnson and Ringrose in the context of bounded cohomology and by Block and Weinberger in the context of uniformly finite homology.
Wright, Nick   +2 more
core   +1 more source

Vanishing theorems for Dolbeault cohomology of log homogeneous varieties

open access: yes, 2009
We consider a complete nonsingular complex algebraic variety having a normal crossing divisor such that the associated logarithmic tangent bundle is generated by its global sections.
Brion, Michel
core  

Explicit Carleman Formulas for the Dolbeault Cohomology in Concave Domains

open access: yes, 2020
В 1999 г. М.Начинович и др. предложили абстрактный способ построения формул Карлемана для комплекса Дольбо. Однако достаточно явные простые примеры так и не появились на свет.
Shestakov, Ivan V.   +1 more
core  

Complex-foliated structures. I. Cohomology of the Dolbeault-Kostant complexes

open access: yes, 1979
We study the cohomology of differential complexes, which we shall call Dolbeault-Kostant complexes, defined by certain integrable sub-bundles F of the complex tangent bundle of a manifold M. When M has a complex or symplectic structure and F is chosen to
Hans R. Fischer, Floyd L. Williams
core   +1 more source

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