Serre duality for dg-algebras
Rings and Algebras
2025-08-18 v2 Algebraic Geometry
Abstract
We generalize Yekutieli-Zhang's noncommutative Serre Duality Theorem to the setting of noncommutative spaces associated to dg-algebras. As an application, we establish some finiteness properties of derived global sections over such noncommutative spaces. Along the way, we generalize Yekutieli's notion of a balanced dualizing complex to the setting of dg-algebras and establish some cases in which they exist.
Cite
@article{arxiv.2410.07204,
title = {Serre duality for dg-algebras},
author = {Michael K. Brown and Prashanth Sridhar},
journal= {arXiv preprint arXiv:2410.07204},
year = {2025}
}
Comments
14 pages. To appear in the Bulletin of the London Mathematical Society