Add to ORKG43 pages. Corrected and simplified argument concerning the metric dualInternational audienceFor a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, we establish a direct link between the slope stability of $E$ and the asymptotic behaviour of Donaldson's functional, by defining the Quot-scheme limit of Fubini-Study metrics. In particular, we provide an explicit estimate which proves that Donaldson's functional is coercive on the set of Fubini-Study metrics if $E$ is slope stable, and give a new proof of Hermitian-Einstein metrics implying slope stability
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
53 pages.International audienceWe introduce a notion of Gieseker stability for a filtered holomorphi...
The relationship between stable holomorphic vector bundles on a compact complex surface and the same...
43 pages. Corrected and simplified argument concerning the metric dualFor a holomorphic vector bundl...
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, weestablish a direct link be...
33 pagesInternational audienceThis is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme li...
31 pagesWe present some results that complement our prequels [arXiv:1809.08425,arXiv:1907.05770] on ...
31 pagesWe present some results that complement our prequels [arXiv:1809.08425,arXiv:1907.05770] on ...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
In this paper, we introduce notions of nonlinear stabilities for a relative ample line bundle over a...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
53 pages.International audienceWe introduce a notion of Gieseker stability for a filtered holomorphi...
The relationship between stable holomorphic vector bundles on a compact complex surface and the same...
43 pages. Corrected and simplified argument concerning the metric dualFor a holomorphic vector bundl...
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, weestablish a direct link be...
33 pagesInternational audienceThis is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme li...
31 pagesWe present some results that complement our prequels [arXiv:1809.08425,arXiv:1907.05770] on ...
31 pagesWe present some results that complement our prequels [arXiv:1809.08425,arXiv:1907.05770] on ...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
In this paper, we introduce notions of nonlinear stabilities for a relative ample line bundle over a...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitia...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle...
53 pages.International audienceWe introduce a notion of Gieseker stability for a filtered holomorphi...
The relationship between stable holomorphic vector bundles on a compact complex surface and the same...