ALE Calabi-Yau metrics with conical singularities along a compact divisor
Differential Geometry
2021-10-26 v1
Abstract
We construct ALE Calabi-Yau metrics with cone singularities along the exceptional set of resolutions of with non-positive discrepancies. In particular, this includes the case of the minimal resolution of two dimensional quotient singularities for any finite subgroup acting freely on the three-sphere, hence generalizing Kronheimer's construction of smooth ALE gravitational instantons. Finally, we show how our results extend to the more general asymptotically conical setting.
Keywords
Cite
@article{arxiv.1811.12773,
title = {ALE Calabi-Yau metrics with conical singularities along a compact divisor},
author = {Martin de Borbon and Cristiano Spotti},
journal= {arXiv preprint arXiv:1811.12773},
year = {2021}
}