A Kummer construction for Chern-Ricci flat balanced manifolds

被引：1
|
作者：
Giusti, Federico [1 ,2 ]
Spotti, Cristiano [1 ]
机构：
[1] Aarhus Univ, Dept Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark
[2] CSIC, ICMAT, Calle Nicolas Cabrera 13-15, Madrid 28049, Spain
来源：
MATHEMATISCHE ZEITSCHRIFT | 2024年 / 308卷 / 04期
关键词：
Complex non-K & auml; hler manifolds; Balanced metrics; Chern-Ricci flat metrics; Calabi-Yau manifolds; Hull-Strominger system; CALABI-YAU MANIFOLDS; STROMINGER SYSTEM; METRICS; BUNDLES; MODULI;
D O I：
10.1007/s00209-024-03597-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a non-K & auml;hler 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.
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页数：30
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