3 papers
math.DG2025
Blowing up Chern-Ricci flat balanced metrics
Elia Fusi, Federico Giusti
Given a compact Chern-Ricci flat balanced orbifold, we show that its blow-up at a finite family of smooth points admits constant Chern scalar curvature balanced metrics, extending…
math.DG2024
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.DG2024
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 fl…