3 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
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…
On the lower bounds of the L^2-norm of the Hermitian scalar curvature
Julien Keller, Mehdi Lejmi
On a pre-quantized symplectic manifold, we show that the symplectic Futaki invariant, which is an obstruction to the existence of constant Hermitian scalar curvature almost-Kähler…
Quantization of the Laplacian operator on vector bundles I
Julien Keller, Julien Meyer, Reza Seyyedali
Let be a holomorphic Hermitian vector bundle over a polarized manifold. We provide a canonical quantization of the Laplacian operator acting on sections of the bundle of He…
Ricci iterations on Kahler classes
Julien Keller
In this paper we consider the dynamical system involved by the Ricci operator on the space of Kähler metrics. A. Nadel has defined an iteration scheme given by the Ricci operator f…
Vortex type equations and canonical metrics
Julien Keller
We introduce a notion of Gieseker stability for a filtered holomorphic vector bundle over a projective manifold. We relate it to an analytic condition in terms of hermitian met…