广义Grassmann子流形翻转的导出等价:$D_4$与$G_2^{\dagger}$情形
代数几何
2024-12-24 v1
摘要
我们证明了广义Grassmann子流形翻转的与类型均可诱导出等价,这为Bondal-Orlov和Kawamata的DK猜想提供了新的证据。该证明基于Kuznetsov的突变技术,即对一系列突变异常对象进行操作。
引用
@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}
}
备注
23 pages. Comments are welcome!