Results 11 to 20 of about 199 (28)

The Weil-Petersson current for moduli of vector bundles and applications to orbifolds [PDF]

, 2016
We investigate stable holomorphic vector bundles on a compact complex K\"ahler manifold and more generally on an orbifold that is equipped with a K\"ahler structure.
Biswas, Indranil, Schumacher, Georg
core   +3 more sources

Positivity of Schur forms for strongly decomposably positive vector bundles

Forum of Mathematics, Sigma
In this paper, we define two types of strongly decomposable positivity, which serve as generalizations of (dual) Nakano positivity and are stronger than the decomposable positivity introduced by S. Finski.
Xueyuan Wan
doaj   +1 more source

Invariant divisors and equivariant line bundles

Forum of Mathematics, Sigma
Scalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invariant ...
Boris Kruglikov, Eivind Schneider
doaj   +1 more source

Cohomology groups of sections of homogeneous line bundles over a toroidal group

, 2015
We completely determine cohomology groups of sections of homogeneous line bundles over a toroidal ...
Abe, Yukitaka
core   +1 more source

Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties

, 2017
The goal of this survey is to describe some recent results concerning the L 2 extension of holomorphic sections or cohomology classes with values in vector bundles satisfying weak semi-positivity properties.
B Berndtsson, B Berndtsson, D Popovici, H Donnelly, J Cao, J McNeal, J-P Demailly, J-P Demailly, J-P Demailly, J-P Demailly, Junyan Cao, K Kodaira, K Kodaira, K Kodaira, L Hörmander, L Manivel, M Păun, O Fujino, S Nakano, T Ohsawa, T Ohsawa, Y Akizuki, Y-T Siu, Z Błocki   +23 more
core   +1 more source

A duality for the double fibration transform

, 2012
We establish a duality within the spectral sequence that governs the holomorphic double fibration transform. It has immediate application to the questions of injectivity and range characterization for this transform.
Eastwood, Michael G., Wolf, Joseph A.
core   +1 more source

Local Demailly-Bouche's holomorphic Morse inequalities

, 2017
Let $(X,\omega)$ be a Hermitian manifold and let $(E,h^E)$, $(F,h^F)$ be two Hermitian holomorphic line bundle over $X$. Suppose that the maximal rank of the Chern curvature $c(E)$ of $E$ is $r$, and the kernel of $c(E)$ is foliated, i.e.
Wang, Zhiwei
core   +1 more source

A Takayama-type extension theorem

, 2006
We prove a theorem on the extension of holomorphic sections of powers of adjoint bundles from submanifolds of complex codimension 1 having non-trivial normal bundle. The first such result, due to Takayama, considers the case where the canonical bundle is
Varolin, Dror
core   +1 more source

A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds [PDF]

, 2005
We prove a relation between the $\bar\partial_M$ cohomology of a minimal orbit $M$ of a real form $G_0$ of a complex semisimple Lie group $G$ in a flag manifold $G/Q$ and the Dolbeault cohomology of the Matsuki dual open orbit $X$ of the complexification
Altomani, Andrea
core   +4 more sources

Elliptic Zeta functions and equivariant functions,

, 2017
In this paper we establish a close connection between three notions at- tached to a modular subgroup. Namely the set of weight two meromorphic modular forms, the set of equivariant functions on the upper half-plane commuting with the action of the ...
Al-Shbail, Isra, Sebbar, Abdellah
core   +1 more source