Existence of balanced dualizing dg-modules
Rings and Algebras
2025-06-04 v1 Algebraic Geometry
Abstract
We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dualizing complexes over graded algebras. As a consequence, we show that a dg-algebra satisfying certain finiteness conditions admits a balanced dualizing dg-module if and only if its zeroth cohomology algebra admits a balanced dualizing complex. Additionally, we obtain a host of new examples of dg-algebras whose associated noncommutative spaces satisfy Serre duality.
Cite
@article{arxiv.2506.02398,
title = {Existence of balanced dualizing dg-modules},
author = {Michael K. Brown and Andrew J. Soto Levins and Prashanth Sridhar},
journal= {arXiv preprint arXiv:2506.02398},
year = {2025}
}
Comments
13 pages