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arXiv · 2310.16666

Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings

Markus Linckelmann
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Abstract

We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a similar result for Tate cohomology of symmetric algebras over fields. We interpret both results in the broader context of Calabi-Yau triangulated categories.

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Markus Linckelmann. 2023-10-25. Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings. https://doi.org/10.1017/s0013091524000671

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