Finite-dimensional differential graded algebras and their geometric realizations
arXiv:1907.08162 · doi:10.1016/j.aim.2020.107096
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.
arXiv comment29 pages, minor changes
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