6 citations · 25 across the 13 of their papers we have counts for
19 papers
-critical equations for holomorphic vector bundles on Kähler surfaces
Julien Keller, Carlo Scarpa
We prove that the existence of a -positive and -critical Hermitian metric on a rank 2 holomorphic vector bundle over a compact Kähler surface implies that the bundle is -s…
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…
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…
Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles
Yoshinori Hashimoto, Julien Keller
For a holomorphic vector bundle over a polarised Kähler manifold, we establish a direct link between the slope stability of and the asymptotic behaviour of Donaldson's func…
About J-flow, J-balanced metrics, uniform J-stability and K-stability
Yoshinori Hashimoto, Julien Keller
From the work of Dervan-Keller, there exists a quantization of the critical equation for the J-flow. This leads to the notion of J-balanced metrics. We prove that the existence of…
Construction of constant scalar curvature Kähler cone metrics
Julien Keller, Kai Zheng
Over a compact Kähler manifold, we provide a Fredholm alternative result for the Lichnerowicz operator associated to a Kähler metric with conic singularities along a divisor. We de…