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A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics

Abstract : This is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme limit and variational properties of Donaldson's functional, which established its coercivity for slope stable holomorphic vector bundles over smooth projective varieties. Assuming that the coercivity is uniform in a certain sense, we provide a new proof of the Donaldson-Uhlenbeck-Yau theorem, in such a way that the analysis involved in the proof is elementary except for the asymptotic expansion of the Bergman kernel.
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https://hal.archives-ouvertes.fr/hal-02868966
Contributor : Julien Keller <>
Submitted on : Monday, June 15, 2020 - 5:15:45 PM
Last modification on : Tuesday, June 16, 2020 - 3:40:25 AM

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  • HAL Id : hal-02868966, version 1
  • ARXIV : 1907.05770

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Yoshinori Hashimoto, Julien Keller. A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics. 2020. ⟨hal-02868966⟩

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