Derived Equivalences of Generalized Grassmannian Flops: $D_4$ and $G_2^{\dagger}$ Cases
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915075697147904 |
|---|---|
| author | Xie, Ying |
| author_facet | Xie, Ying |
| contents | We prove that the generalized Grassmannian flops of both $D_4$ and $G_2^{\dagger}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived Equivalences of Generalized Grassmannian Flops: $D_4$ and $G_2^{\dagger}$ Cases Xie, Ying Algebraic Geometry 14F08, 14M15, 14E05 We prove that the generalized Grassmannian flops of both $D_4$ and $G_2^{\dagger}$ 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. |
| title | Derived Equivalences of Generalized Grassmannian Flops: $D_4$ and $G_2^{\dagger}$ Cases |
| topic | Algebraic Geometry 14F08, 14M15, 14E05 |
| url | https://arxiv.org/abs/2412.17130 |