Add to ORKGThe purpose of this paper is to study certain notions of metric positivity for the lowest nonzero piece in the Hodge filtration of a Hodge module. We show that the Hodge metric satisfies the minimal extension property. In particular, this singular Hermitian metric has semi-positive curvature.Comment: v2: 17 pages, final version, to appear in Math
We introduce and study the notion of singular hermitian metrics on holomorphic vector bundles, follo...
International audienceLet f : X --> Y be a holomorphic map of complex manifolds, which is proper, Ka...
The subject in this paper is the positivity of direct image sheaves of adjoint bundles Rqf∗(KX/Y ⊗ E...
We prove that a torsion-free sheaf $\mathcal F$ endowed with a singular hermitian metric with semi-p...
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular ty...
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which ...
To appear in the proceedings of the RIMS meeting ``Bergman kernel and its applications to algebraic ...
revised and expanded version of "A positivity property of ample vector bundles"International audienc...
Arguments are simplified. To appear in Ann. Sci. Ecole Norm. Sup.International audienceUsing the har...
Abstract. We prove the weak positivity of the kernels of Kodaira-Spencer-type maps for pure Hodge mo...
We give a Hodge-theoretic proof of Hwang's theorem, which says that if the base of a Lagrangian fibr...
We consider degenerations of complex projective Calabi–Yau varieties and study the singularities of ...
Let $X$ be a non-singular compact complex surface such that the anticanonical line bundle admits a s...
In this companion paper to arXiv:2202.08797, we show that the Hodge filtration of a tempered Hodge m...
We obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big li...
We introduce and study the notion of singular hermitian metrics on holomorphic vector bundles, follo...
International audienceLet f : X --> Y be a holomorphic map of complex manifolds, which is proper, Ka...
The subject in this paper is the positivity of direct image sheaves of adjoint bundles Rqf∗(KX/Y ⊗ E...
We prove that a torsion-free sheaf $\mathcal F$ endowed with a singular hermitian metric with semi-p...
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular ty...
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which ...
To appear in the proceedings of the RIMS meeting ``Bergman kernel and its applications to algebraic ...
revised and expanded version of "A positivity property of ample vector bundles"International audienc...
Arguments are simplified. To appear in Ann. Sci. Ecole Norm. Sup.International audienceUsing the har...
Abstract. We prove the weak positivity of the kernels of Kodaira-Spencer-type maps for pure Hodge mo...
We give a Hodge-theoretic proof of Hwang's theorem, which says that if the base of a Lagrangian fibr...
We consider degenerations of complex projective Calabi–Yau varieties and study the singularities of ...
Let $X$ be a non-singular compact complex surface such that the anticanonical line bundle admits a s...
In this companion paper to arXiv:2202.08797, we show that the Hodge filtration of a tempered Hodge m...
We obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big li...
We introduce and study the notion of singular hermitian metrics on holomorphic vector bundles, follo...
International audienceLet f : X --> Y be a holomorphic map of complex manifolds, which is proper, Ka...
The subject in this paper is the positivity of direct image sheaves of adjoint bundles Rqf∗(KX/Y ⊗ E...