Smooth DG algebras and twisted tensor product
Algebraic Geometry
2023-07-06 v2 Category Theory
Rings and Algebras
Abstract
In this paper, twisted tensor product of DG algebras is studied and sufficient conditions for smoothness of such a product are given. It is shown that in the case of finite-dimensional DG algebras, applying this operation offers great possibilities for constructing new examples of smooth DG algebras and algebras. In particular, examples are given of families of algebras of finite global dimension with two simple modules that have nontrivial moduli spaces.
Cite
@article{arxiv.2305.19799,
title = {Smooth DG algebras and twisted tensor product},
author = {Dmitri Orlov},
journal= {arXiv preprint arXiv:2305.19799},
year = {2023}
}
Comments
Dedicated to the blessed memory of Igor Rostislavovich Shafarevich on the occasion of his 100th birthday, 25 pages, Minor changes