Derived Equivalences of Generalized Grassmannian Flops: $D_4$ and $G_2^{\dagger}$ Cases
Algebraic Geometry
2024-12-24 v1
Abstract
We prove that the generalized Grassmannian flops of both and type induce derived equivalences, which provide new evidence for the DK conjecture by Bondal-Orlov and Kawamta. The proof is based on Kuznetsov's mutation technique, which takes a sequence of mutations of exceptional objects.
Keywords
Cite
@article{arxiv.2412.17130,
title = {Derived Equivalences of Generalized Grassmannian Flops: $D_4$ and $G_2^{\dagger}$ Cases},
author = {Ying Xie},
journal= {arXiv preprint arXiv:2412.17130},
year = {2024}
}
Comments
23 pages. Comments are welcome!