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arXiv · 1311.3339

Untwisting algebras with van den Bergh duality into Calabi-Yau algebras

Mariano Suárez-Alvarez
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Abstract

Jake Goodman and Ulrich Krähmer have recently shown that a twisted Calabi-Yau algebra $A$ with modular automorphism $σ$ and dimension $d$ can be "untwisted," in the sense that the Ore extensions $A[X;σ]$ and $A[X^{\pm1};σ]$ are Calabi-Yau algebras of dimension $d+1$. In this note we show that this in fact extends more generally to the case where we start with an algebra with van den Bergh duality.

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Mariano Suárez-Alvarez. 2013-11-13. Untwisting algebras with van den Bergh duality into Calabi-Yau algebras. https://arxiv.org/abs/1311.3339

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