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20062024
most citedA variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics

3 citations · 4 across the 4 of their papers we have counts for

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math.AG2021

Quot-scheme limit of Fubini-Study metrics and its applications to balanced metrics

Yoshinori Hashimoto, Julien Keller

We present some results that complement our prequels [arXiv:1809.08425,arXiv:1907.05770] on holomorphic vector bundles. We apply the method of the Quot-scheme limit of Fubini-Study…

math.AG2019★ 3 cited

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

Yoshinori Hashimoto, Julien Keller

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 ho…

math.AG2017

Relative K-polystability of projective bundles over a curve

Vestislav Apostolov, Julien Keller

Let be the projectivization of a holomorphic vector bundle over a compact complex curve . We characterize the existence of an extremal Kähler metric on the ruled mani…