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arXiv · 2506.02398

Existence of balanced dualizing dg-modules

Michael K. Brown·Andrew J. Soto Levins·Prashanth Sridhar
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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.

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BibTeXRIS

Michael K. Brown, Andrew J. Soto Levins, Prashanth Sridhar. 2025-06-03. Existence of balanced dualizing dg-modules. https://arxiv.org/abs/2506.02398

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