A Kummer construction for Chern–Ricci flat balanced manifolds

TY - JOUR

T1 - A Kummer construction for Chern–Ricci flat balanced manifolds

AU - Giusti, Federico

AU - Spotti, Cristiano

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - 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.

AB - 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.

KW - 53C07

KW - 53C25

KW - 53C55

KW - Balanced metrics

KW - Calabi–Yau manifolds

KW - Chern–Ricci flat metrics

KW - Complex non-Kähler manifolds

KW - Hull–Strominger system

UR - http://www.scopus.com/inward/record.url?scp=85207192659&partnerID=8YFLogxK

U2 - 10.1007/s00209-024-03597-3

DO - 10.1007/s00209-024-03597-3

M3 - Journal article

AN - SCOPUS:85207192659

SN - 0025-5874

VL - 308

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 4

M1 - 61

ER -