关于非极小Enriques曲面的导出范畴
On derived categories of nonminimal Enriques surfaces
摘要：
根据Orlov公式，爆破的导出范畴必须包含原簇作为半正交分支。这就产生了一个有趣的问题：是否存在多种$X$，使得$\operatorname{D}^{\sf b}(X)$不允许最大长度的例外集合，但$\operatorname{D}^{\sf b}(\operatorname{Bl}_{x} X)$允许这样的集合？我们给出这样一个例子，其中$X$是一个极小的Enriques曲面。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
