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

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arxiv 2301.11636 v3 pith:5JTC67U7 submitted 2023-01-27 math.DG math.AG

Federico Giusti , Cristiano Spotti This is my paper · ORCID
classification math.DGmath.AG
keywords ahlerbalancedcalabi-yauchern-ricciflatmetricsresolutionssmall
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An introduction to conifold transitions

    math.DG 2025-08 conditional novelty 5.0 of 10

    Survey of conifold transitions between Calabi-Yau threefolds with a sketched differential-geometric proof of the necessity part of Friedman's smoothing criterion.

  2. Calabi-Yau threefolds across quadratic singularities

    math.DG 2025-01 unverdicted

    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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