Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces

التفاصيل البيبلوغرافية
العنوان: Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces
المؤلفون: Doran, Charles F., Favero, David, Kelly, Tyler L.
سنة النشر: 2015
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 14M25, 14J33, 14J32, 14J28
الوصف: Given the same anti-canonical linear system on two distinct toric varieties, we provide a derived equivalence between partial crepant resolutions of the corresponding stacky hypersurfaces. The applications include: a derived unification of toric mirror constructions, calculations of Picard lattices for linear systems of quartic surfaces, and a birational reduction of Reid's list to 81 families.
Comment: moderate revision, 15 pages, to appear in Proc. Amer. Math. Soc
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1503.04888
رقم الأكسشن: edsarx.1503.04888
قاعدة البيانات: arXiv