Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds

التفاصيل البيبلوغرافية
العنوان: Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds
المؤلفون: Giusti, Federico, Spotti, Cristiano
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry, Mathematics - Algebraic Geometry
الوصف: Given a (smoothable) projective nodal K\"ahler Calabi-Yau threefold, we show, via a gluing construction, that all its - possibly non-K\"ahler - small resolutions admit Chern-Ricci flat balanced metrics, which among other things solve the dilatino equation appearing in the Hull-Strominger system.
Comment: 12 pages. The issue in the proof of the previous version is now fixed. Comments are welcome!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2301.11636
رقم الأكسشن: edsarx.2301.11636
قاعدة البيانات: arXiv