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arXiv · 2410.07204

Serre duality for dg-algebras

Michael K. Brown·Prashanth Sridhar
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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.

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Michael K. Brown, Prashanth Sridhar. 2024-09-25. Serre duality for dg-algebras. https://arxiv.org/abs/2410.07204

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