Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles [PDF]
Épijournal de Géométrie Algébrique, 2022 For 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.
Yoshinori Hashimoto, Julien Keller
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Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
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Polystable bundles and representations of their automorphisms
Complex Manifolds, 2022 Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
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Uniform L2-estimates for flat nontrivial line bundles on compact complex manifolds
Complex ManifoldsIn this study, we extend the uniform L2{L}^{2}-estimate of ∂¯\bar{\partial }-equations for flat nontrivial line bundles, proved for compact Kähler manifolds by Hashimoto and Koike, to compact complex manifolds.
Hashimoto Yoshinori +2 more
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SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden
İsmet AYHAN
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Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]
J Geom Anal, 2022 Datar V, Jacob A.
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Hyperholomorphic connections on coherent sheaves and stability
Open Mathematics, 2011 Verbitsky Misha
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Smooth metric measure spaces, quasi-Einstein metrics, and tractors
Open Mathematics, 2012 Case Jeffrey
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Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections
Open Mathematics, 2012 Keller Julien +1 more
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Erratum to: “Smooth metric measure spaces, quasi-Einstein metrics, and tractors”
Open Mathematics, 2013 Case Jeffrey
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