Finite-dimensional differential graded algebras and their geometric realizations
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2019
- DOI:
- 10.48550/arXiv.1907.08162
- arXiv:
- arXiv:1907.08162
- Bibcode:
- 2019arXiv190708162O
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Category Theory;
- Mathematics - Rings and Algebras;
- 14A22;
- 16E45;
- 16E35;
- 18E30
- E-Print:
- 29 pages, minor changes