On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866913328234758144 |
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| author | Hara, Wahei |
| author_facet | Hara, Wahei |
| contents | Recently, Segal constructed a derived equivalence for an interesting 5-fold flop that was provided by Abuaf. The aim of this article is to add some results for the derived equivalence for Abuaf's flop. Concretely, we study the equivalence for Abuaf's flop by using Toda-Uehara's tilting bundles and Iyama-Wemyss's mutation functors. In addition, we observe a "flop-flop=twist" result and a "multi-mutation=twist" result for Abuaf's flop. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_04417 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists Hara, Wahei Algebraic Geometry Commutative Algebra Rings and Algebras Recently, Segal constructed a derived equivalence for an interesting 5-fold flop that was provided by Abuaf. The aim of this article is to add some results for the derived equivalence for Abuaf's flop. Concretely, we study the equivalence for Abuaf's flop by using Toda-Uehara's tilting bundles and Iyama-Wemyss's mutation functors. In addition, we observe a "flop-flop=twist" result and a "multi-mutation=twist" result for Abuaf's flop. |
| title | On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists |
| topic | Algebraic Geometry Commutative Algebra Rings and Algebras |
| url | https://arxiv.org/abs/1706.04417 |