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math.AG2025
Quantitative injectivity of the Fubini--Study map
Yoshinori Hashimoto
We prove a quantitative version of the injectivity of the Fubini--Study map that is polynomial in the exponent of the ample line bundle, and correct the arguments in the author's p…
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…