Derived equivalence for the simple flop of type $D_5$

Autor:	Rampazzo, Marco, Xie, Ying
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 14F08 14M15 14E05
Druh dokumentu:	Working Paper
Popis:	We prove that every simple flop of type $D_5$, i.e. resolved by blowups with exceptional divisor isomorphic to a generalized Grassmann bundle with fiber $OG(4, 10)$, induces a derived equivalence. This provides new evidence for the DK conjecture of Bondal--Orlov and Kawamata. The proof is based on a sequence of mutations of exceptional objects: we use the same argument to prove derived equivalence for some pairs of non birational Calabi--Yau fivefolds in $OG(5, 10)$, related to Manivel's double--spinor Calabi--Yau varieties. We extend the construction to prove derived equivalence of Calabi--Yau fibrations which are described as zero loci in some generalized Grassmann bundles. Comment: 30 pages, comments are very welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.20446 Zobrazit plný text záznamu View this record from Arxiv