• DOI:10.1016/j.aim.2020.107096
Corpus ID: 197544791

Finite-dimensional differential graded algebras and their geometric realizations

@article{Orlov2020FinitedimensionalDG,
  title={Finite-dimensional differential graded algebras and their geometric realizations},
  author={D. Orlov},
  journal={Advances in Mathematics},
  year={2020},
  volume={366},
  pages={107096}
}

• D. Orlov
• Published 2020
• Mathematics
• Advances in Mathematics

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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.