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arXiv · 1907.08162

Finite-dimensional differential graded algebras and their geometric realizations

Dmitri Orlov
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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.

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Dmitri Orlov. 2019-07-16. Finite-dimensional differential graded algebras and their geometric realizations. https://doi.org/10.1016/j.aim.2020.107096

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