Finitedimensional differential graded algebras and their geometric realizations
Abstract
We prove that for any finitedimensional 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 semiexceptional 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 eprints
 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
 EPrint:
 29 pages, minor changes