Finite-dimensional differential graded algebras and their geometric realizations
Algebraic Geometry
2020-03-18 v2 Category Theory
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1907.08162,
title = {Finite-dimensional differential graded algebras and their geometric realizations},
author = {Dmitri Orlov},
journal= {arXiv preprint arXiv:1907.08162},
year = {2020}
}
Comments
29 pages, minor changes