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.
引用
收藏
页数：30
相关论文
共 50 条
  • [1] Blowing up Chern-Ricci flat balanced metrics
    Fusi, Elia
    Giusti, Federico
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2025, 197
  • [2] CHERN-RICCI FLOWS ON NONCOMPACT COMPLEX MANIFOLDS
    Lee, Man-Chun
    Tam, Luen-Fai
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2020, 115 (03) : 529 - 564
  • [3] Families of Singular Chern-Ricci Flat Metrics
    Pan, Chung-Ming
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (02)
  • [4] Chern flat, Chern-Ricci flat twisted product in almost Hermitian geometry
    Kawamura, Masaya
    ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2025, 45 (01): : 1 - 14
  • [5] The Chern-Ricci Flow on Oeljeklaus-Toma Manifolds
    Zheng, Tao
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2017, 69 (01): : 220 - 240
  • [6] The Chern-Ricci flow
    Tosatti V.
    Weinkove B.
    Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2022, 33 (01): : 73 - 107
  • [7] Pluripotential Chern-Ricci Flows
    Dang, Quang-tuan
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2024, 73 (04) : 1401 - 1441
  • [8] Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
    Li, Shuwen
    He, Yong
    Lu, Weina
    Yang, Ruijia
    MATHEMATICS, 2024, 12 (03)
  • [9] Compact Kahler manifolds with quasi-positive second Chern-Ricci curvature
    Yang, Xiaokui
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2024, 32 (10) : 2717 - 2734
  • [10] Inoue surfaces and the Chern-Ricci flow
    Fang, Shouwen
    Tosatti, Valentino
    Weinkove, Ben
    Zheng, Tao
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (11) : 3162 - 3185
12345