DK Conjecture for Some $K$-inequivalences from Grassmannians
Algebraic Geometry
2024-10-22 v6
Abstract
The DK conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of bounded derived categories for any -inequivalence, which is proved to be true for the toroidal case. In this paper, we construct examples of non-toroidal -inequivalences from Grassmannians inspired by Kuznetsov, Kanemitsu, Ueda, and Morimura, and we show that these -inequivalences satisfy the DK conjecture.
Keywords
Cite
@article{arxiv.1911.07715,
title = {DK Conjecture for Some $K$-inequivalences from Grassmannians},
author = {Naichung Conan Leung and Ying Xie},
journal= {arXiv preprint arXiv:1911.07715},
year = {2024}
}
Comments
To appear in the Journal of Pure and Applied Algebra