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arXiv · 1805.04050

Deformation of exceptional collections

Xiaowen Hu
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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.

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Xiaowen Hu. 2018-05-10. Deformation of exceptional collections. https://arxiv.org/abs/1805.04050

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