4 papers
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…
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…
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…
Real semisimple Lie groups and balanced metrics
Federico Giusti, Fabio Podestà
Given any non-compact real simple Lie group G of inner type and even dimension, we prove the existence of an invariant complex structure J and a Hermitian balanced metric with vani…