Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866909299825967104 |
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| author | Giusti, Federico Spotti, Cristiano |
| author_facet | Giusti, Federico Spotti, Cristiano |
| contents | 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 balanced metrics, which among other things solve the dilatino equation appearing in the Hull-Strominger system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_11636 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds Giusti, Federico Spotti, Cristiano Differential Geometry Algebraic Geometry 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 balanced metrics, which among other things solve the dilatino equation appearing in the Hull-Strominger system. |
| title | Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2301.11636 |