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arXiv · 1911.07715

DK Conjecture for Some $K$-inequivalences from Grassmannians

Naichung Conan Leung·Ying Xie
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Abstract

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.

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Naichung Conan Leung, Ying Xie. 2019-11-18. DK Conjecture for Some $K$-inequivalences from Grassmannians. https://arxiv.org/abs/1911.07715

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