Relating derived equivalences for simplices of higher-dimensional flops

التفاصيل البيبلوغرافية
العنوان: Relating derived equivalences for simplices of higher-dimensional flops
المؤلفون: Donovan, W.
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Primary 14F08, Secondary 14J32, 18G80
الوصف: I study a sequence of singularities in dimension 4 and above, each given by a cone of rank 1 tensors of a certain signature, which have crepant resolutions whose exceptional loci are isomorphic to cartesian powers of the projective line. In each dimension n, these resolutions naturally correspond to vertices of an (n-2)-simplex, and flops between them correspond to edges of the simplex. I show that each face of the simplex may then be associated to a certain relation between flop functors.
Comment: 21 pages, 5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2108.10541
رقم الأكسشن: edsarx.2108.10541
قاعدة البيانات: arXiv