Add to ORKGWe obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano semi-positivity of singular Hermitian metrics with L2-estimates and prove the vanishing theorem which is a generalization of the Bogomolov-Sommese type vanishing theorem to holomorphic vector bundles.Comment: 24 page
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, weestablish a direct link be...
For holomorphic line bundles, it has turned out to be useful to not just consider smooth metrics, bu...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular ty...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analyti...
<!DOCTYPE html> <html> <body> <p>This thesis concerns various aspects of the geometry of holomorphic...
We prove the Hodge symmetry type result on the Dolbeault cohomology of Oeljeklaus-Toma manifolds wit...
The purpose of this paper is to study certain notions of metric positivity for the lowest nonzero pi...
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which ...
We present a generalization of Takegoshi’s relative version of the Grauert–Riemenschneider vanishing...
We present a generalization of Takegoshi’s relative version of the Grauert–Riemenschneider vanishing...
We formulate and establish a generalization of Kollár’s injectivity theorem for adjoint bundles twis...
In this article, the author studies the vanishing of cohomologies of smooth varieties over a field o...
We prove that a torsion-free sheaf $\mathcal F$ endowed with a singular hermitian metric with semi-p...
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, weestablish a direct link be...
For holomorphic line bundles, it has turned out to be useful to not just consider smooth metrics, bu...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular ty...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analyti...
<!DOCTYPE html> <html> <body> <p>This thesis concerns various aspects of the geometry of holomorphic...
We prove the Hodge symmetry type result on the Dolbeault cohomology of Oeljeklaus-Toma manifolds wit...
The purpose of this paper is to study certain notions of metric positivity for the lowest nonzero pi...
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which ...
We present a generalization of Takegoshi’s relative version of the Grauert–Riemenschneider vanishing...
We present a generalization of Takegoshi’s relative version of the Grauert–Riemenschneider vanishing...
We formulate and establish a generalization of Kollár’s injectivity theorem for adjoint bundles twis...
In this article, the author studies the vanishing of cohomologies of smooth varieties over a field o...
We prove that a torsion-free sheaf $\mathcal F$ endowed with a singular hermitian metric with semi-p...
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, weestablish a direct link be...
For holomorphic line bundles, it has turned out to be useful to not just consider smooth metrics, bu...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...