15 citations · 35 across the 7 of their papers we have counts for
10 papers
Balancing the 2-systoles of some Kähler manifolds with positive scalar curvature
Thomas Richard, Hugues Auvray
Theorems by Bray-Brendle-Neves and Zhu about positive scalar curvature metrics on products of a 2-sphere and an n-torus suggests that positive scalar curvature suggests and appropr…
Quotient of Bergman kernels on punctured Riemann surfaces
Hugues Auvray, Xiaonan Ma, George Marinescu
In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincar{é} metric near the punctures, and a holomorphic line bundle that polar…
Extremal Kähler Poincaré type metrics on toric varieties
Vestislav Apostolov, Hugues Auvray, Lars Martin Sektnan
We develop a general theory for the existence of extremal Kähler metrics of Poincaré type in the sense of Auvray, defined on the complement of a toric divisor of a polarized toric…
Bergman kernels on punctured Riemann surfaces
Hugues Auvray, Xiaonan Ma, George Marinescu
In this paper we consider a punctured Riemann surface endowed with a Hermitian metric which equals the Poincaré metric near the punctures and a holomorphic line bundle which polari…
Note on Poincaré type Kähler metrics and Futaki characters
Hugues Auvray
A Poincaré type Kähler metric on the complement X\D of a simple normal crossing divisor D, in a compact Kähler manifold X, is a Kähler metric on X\D with cusp singularity along D.…
Asymptotic properties of extremal Kähler metrics of Poincaré type
Hugues Auvray
Consider a compact Kähler manifold X with a simple normal crossing divisor D, and define Poincaré type metrics on X\D as Kähler metrics on X\D with cusp singularities along D. We p…
From ALE to ALF gravitational instantons. II
Hugues Auvray
This paper is the sequel of our previous article "From ALE to ALF gravitational instantons", where we constructed ALF hyperkahler metrics on minimal resolutions of dihedral Kleinia…
From ALE to ALF gravitational instantons
Hugues Auvray
We give an original analytic construction of hyperkahler ALF metrics on some ALE spaces of dihedral type, namely the spaces corresponding to minimal resolutions of Kleinian quotien…
Metrics of Poincaré type with constant scalar curvature: a topological constraint
Hugues Auvray
Let D a divisor with simple normal crossings in a Kahler manifold X. The purpose of this short note is to show that the existence of a Poincare type metric with constant scalar cur…
The space of Poincaré type Kähler metrics on the complement of a divisor
Hugues Auvray
Consider a divisor D with simple normal crossings in a compact Kähler manifold X. We show in this article that a Kähler metric in an arbitrary class, with constant scalar curvature…