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A Kummer construction for Chern–Ricci flat balanced manifolds

Name: A Kummer construction for Chern–Ricci flat balanced manifolds
Keywords: Balanced metrics, Mathematics - Differential Geometry, 53C07; 53C25; 53C55; Balanced metrics; Calabi–Yau manifolds; Chern–Ricci flat metrics; Complex non-Kähler manifolds; Hull–Strominger system, 53C07, Complex non-Kähler manifolds, Differential Geometry (math.DG), Hull–Strominger system, FOS: Mathematics, 53C55, 53C25

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Research 21 Oct 2024Embargo end date: 01 Jan 2023 Spain Publisher:Springer Science and Business Media LLCJournal:Mathematische Zeitschrift, volume 308 (issn: 0025-5874, eissn: 1432-1823,

Authors: Giusti, Federico; Spotti, Cristiano;

doi: 10.1007/s00209-024-03597-3 , 10.48550/arxiv.2309.12909

arXiv: http://arxiv.org/abs/2309.12909

handle: 10261/378995

A Kummer construction for Chern–Ricci flat balanced manifolds

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Abstract

AbstractGiven 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.

Country

Spain

Related Organizations

Spanish National Research Council
Spain
Aarhus University
Denmark
Institute of Mathematical Sciences
Spain
Aarhus University
Denmark

Keywords

Balanced metrics, Mathematics - Differential Geometry, 53C07; 53C25; 53C55; Balanced metrics; Calabi–Yau manifolds; Chern–Ricci flat metrics; Complex non-Kähler manifolds; Hull–Strominger system, 53C07, Complex non-Kähler manifolds, Differential Geometry (math.DG), Hull–Strominger system, FOS: Mathematics, 53C55, 53C25, Chern–Ricci flat metrics, Calabi–Yau manifolds

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