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arXiv · 1612.09406

On derived categories of nonminimal Enriques surfaces

Yonghwa Cho
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Abstract

By Orlov's formula, the derived category of blow up must contain the original variety as a semiorthogonal component. This arises an interesting question: does there exist a variety $X$ such that $\operatorname{D}^{\sf b}(X)$ does not admit an exceptional collection of maximal length, but $\operatorname{D}^{\sf b}(\operatorname{Bl}_{x} X)$ admits such a collection? We give such an example where $X$ is a minimal Enriques surface.

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Yonghwa Cho. 2016-12-30. On derived categories of nonminimal Enriques surfaces. https://arxiv.org/abs/1612.09406

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