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math.DG2023
Some models for bubbling of (log) Kähler-Einstein metrics
Martin de Borbon, Cristiano Spotti
We investigate aspects of the metric bubble tree for non-collapsing degenerations of (log) Kähler-Einstein metrics in complex dimensions one and two, and further describe a conject…
math.DG2023
A Kümmer construction for Chern-Ricci flat balanced manifolds
Federico Giusti, Cristiano Spotti
Given a non-Kähler Calabi-Yau orbifold with a finite family of isolated singularities endowed with a Chern-Ricci flat balanced metric, we show, via a gluing construction, that all…
math.DG2023
Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds
Federico Giusti, Cristiano Spotti
Given a (smoothable) projective nodal Kähler Calabi-Yau threefold, we show, via a gluing construction, that all its - possibly non-Kähler - small resolutions admit Chern-Ricci flat…