Deformation of exceptional collections
Algebraic Geometry
2019-03-08 v4 K-Theory and Homology
Abstract
We show that in a smooth family of complete varieties, the existence of full exceptional collection on a fiber preserves for the fibers in a neighborhood. Then we show that the noncommutative deformations of a strong exceptional collection of vector bundles induce the same map on the second Hochschild cohomology as the canonical isomorphism induced by the derived equivalence to the corresponding endomorphism algebra.
Cite
@article{arxiv.1805.04050,
title = {Deformation of exceptional collections},
author = {Xiaowen Hu},
journal= {arXiv preprint arXiv:1805.04050},
year = {2019}
}
Comments
Typos corrected. Presentation of the introduction improved. One open problem modified