DK Conjecture for Some $K$-inequivalences from Grassmannians
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866910657407877120 |
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| author | Leung, Naichung Conan Xie, Ying |
| author_facet | Leung, Naichung Conan Xie, Ying |
| contents | The DK conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of bounded derived categories for any $K$-inequivalence, which is proved to be true for the toroidal case. In this paper, we construct examples of non-toroidal $K$-inequivalences from Grassmannians inspired by Kuznetsov, Kanemitsu, Ueda, and Morimura, and we show that these $K$-inequivalences satisfy the DK conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_07715 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | DK Conjecture for Some $K$-inequivalences from Grassmannians Leung, Naichung Conan Xie, Ying Algebraic Geometry The DK conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of bounded derived categories for any $K$-inequivalence, which is proved to be true for the toroidal case. In this paper, we construct examples of non-toroidal $K$-inequivalences from Grassmannians inspired by Kuznetsov, Kanemitsu, Ueda, and Morimura, and we show that these $K$-inequivalences satisfy the DK conjecture. |
| title | DK Conjecture for Some $K$-inequivalences from Grassmannians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1911.07715 |