We prove a simple, explicit formula for the mass of any asymptotically locally Euclidean
(ALE) Kähler manifold, assuming only the sort of weak fall-off conditions required for the …

There are many known examples of scalar-flat Kähler ALE surfaces, all of which have group
at infinity either cyclic or contained in SU⁢(2). The main result in this paper shows that for …

ALE scalar-flat Kähler metrics on non-compact weighted projective spaces | SpringerLink Skip
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We prove a Kuranishi-type theorem for deformations of complex structures on ALE K\" ahler
surfaces. This is used to prove that for any scalar-flat K\" ahler ALE surface, all small …

On cscK resolutions of conically singular cscK varieties - ScienceDirect Skip to main contentSkip
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Given a compact constant scalar curvature Kähler orbifold, with nontrivial holomorphic
vector fields, whose singularities admit a local ALE Kähler Ricci-flat resolution, we find …

Our main result in this article is a compactness result which states that a noncollapsed
sequence of asymptotically locally Euclidean (ALE) scalar-flat Kähler metrics on a minimal …

In this paper we compute the Futaki invariant of adiabatic Kaehler classes on resolutions of
Kaehler orbifolds with isolated singularities. Combined with previous existence results of …

The aim of this article is to study expansions of solutions to an extremal metric type equation
on the blowup of constant scalar curvature Kähler surfaces. This is related to finding …

In this note we revisit and extend few classical and recent results on the definition and use of
the Futaki invariant in connection with the existence problem for Kähler constant scalar …