A Kümmer construction for Chern-Ricci flat balanced manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916374283026432 |
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| author | Giusti, Federico Spotti, Cristiano |
| author_facet | Giusti, Federico Spotti, Cristiano |
| contents | 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 its crepant resolutions admit Chern-Ricci flat balanced metrics, and discuss applications to the search of solutions for the Hull-Strominger system. We also describe the scenario of singular threefolds with ordinary double points, and see that similarly is possible to obtain balanced approximately Chern-Ricci flat metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12909 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Kümmer construction for Chern-Ricci flat balanced manifolds Giusti, Federico Spotti, Cristiano Differential Geometry 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 its crepant resolutions admit Chern-Ricci flat balanced metrics, and discuss applications to the search of solutions for the Hull-Strominger system. We also describe the scenario of singular threefolds with ordinary double points, and see that similarly is possible to obtain balanced approximately Chern-Ricci flat metrics. |
| title | A Kümmer construction for Chern-Ricci flat balanced manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2309.12909 |