On the ADM mass of K\"ahler scalar flat ALE metrics

Claudio Arezzo; Karen Corrales

arxiv: 2101.00481 · v1 · pith:FSBFIEEYnew · submitted 2021-01-02 · 🧮 math.DG

On the ADM mass of K\"ahler scalar flat ALE metrics

Claudio Arezzo , Karen Corrales This is my paper

classification 🧮 math.DG

keywords flatmassscalarahlermetricsspacessufficientlyarbitrarily

0 comments

read the original abstract

In this paper we study the behaviour of scalar flat K\"ahler ALE spaces and their ADM mass under blow ups. In particular we prove that by blowing up sufficiently many points at sufficiently big mutual distance one can produce scalar flat metrics with arbitrarily large ADM mass. A general machinery for producing scalar flat non Ricci flat ALE spaces of zero ADM mass is also presented, using and integrating previous work by Rollin-Singer and Hein-LeBrun.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Curvature at infinity of scalar-flat ALE four-manifolds
math.DG 2026-06 unverdicted novelty 6.0

Identifies the canonical |x|^{-2} term in scalar-flat ALE four-manifold metrics and shows the leading Weyl component vanishes precisely on crepant minimal resolutions of quotient singularities.