Fullness of the Kuznetsov-Polishchuk exceptional collection for the spinor tenfold
Algebraic Geometry
2023-06-21 v1
Abstract
Kuznetsov and Polishchuk provided a general algorithm to construct exceptional collections of maximal length for homogeneous varieties of type A,B,C,D. We consider the case of the spinor tenfold and we prove that the corresponding collection is full, i.e. it generates the whole derived category of coherent sheaves. As a step of the proof, we construct some resolutions of homogeneous vector bundles which might be of independent interest.
Keywords
Cite
@article{arxiv.2306.10986,
title = {Fullness of the Kuznetsov-Polishchuk exceptional collection for the spinor tenfold},
author = {Riccardo Moschetti and Marco Rampazzo},
journal= {arXiv preprint arXiv:2306.10986},
year = {2023}
}
Comments
19 pages, comments are very welcome!