Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds

Published 27 Jan 2023 in math.DG and math.AG | (2301.11636v3)

Abstract: Given a (smoothable) projective nodal K\"ahler Calabi-Yau threefold, we show, via a gluing construction, that all its - possibly non-K\"ahler - small resolutions admit Chern-Ricci flat balanced metrics, which among other things solve the dilatino equation appearing in the Hull-Strominger system.

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