A Kummer construction for Chern–Ricci flat balanced manifolds
Given a non-Kähler Calabi–Yau compact orbifold with isolated singularities endowed with a Chern–Ricci flat balanced metric, we study, via a gluing construction, the existence of Chern–Ricci flat balanced metrics on its crepant resolutions, and discuss applications to the search of solutions for the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/378995 |
| Acceso en línea: | http://hdl.handle.net/10261/378995 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85207192659&doi=10.1007%2fs00209-024-03597-3&partnerID=40&md5=517888897d40e3f7fa5b926faa649c2f |
| Access Level: | acceso abierto |
| Palabra clave: | 53C07 53C25 53C55 Balanced metrics Calabi–Yau manifolds Chern–Ricci flat metrics Complex non-Kähler manifolds Hull–Strominger system |
| Sumario: | Given a non-Kähler Calabi–Yau compact orbifold with isolated singularities endowed with a Chern–Ricci flat balanced metric, we study, via a gluing construction, the existence of Chern–Ricci flat balanced metrics on its crepant resolutions, 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. © The Author(s) 2024. |
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