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arXiv · 2301.11636

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

Federico Giusti·Cristiano Spotti
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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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Federico Giusti, Cristiano Spotti. 2023-01-27. Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds. https://arxiv.org/abs/2301.11636

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