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Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles

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. In particular, we provide an explicit estimate whic...

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Bibliografiska uppgifter
Huvudupphov: Yoshinori Hashimoto, Julien Keller
Materialtyp: Artigo
Språk:Inglês
Utgiven: Association Epiga 2022-01-01
Serie:Épijournal de Géométrie Algébrique
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Länkar:https://epiga.episciences.org/6577/pdf
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