Abstract We prove that for any finite-dimensional differential graded algebra with separable semisimple part the category of perfect modules is equivalent to a full subcategory of the category of perfect complexes on a smooth projective scheme with a full separable semi-exceptional collection. Moreover, we also show that it gives a characterization of such categories assuming that a subcategory is idempotent complete and has a classical generator.

中文翻译：

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有限维微分梯度代数及其几何实现

摘要 我们证明，对于任何具有可分离半单部分的有限维微分分级代数，完美模范畴等价于具有完全可分离半异常集合的光滑射影方案上的完美复形范畴的完整子范畴。此外，我们还表明，假设子类别是幂等的并且具有经典生成器，它给出了此类类别的表征。