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arXiv · 1203.3029

A criterion for homogeneous potentials to be 3-Calabi-Yau

Roland Berger·Andrea Solotar
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Abstract

We give a necessary and sufficient condition for an N-Koszul algebra defined by a homogeneous potential, to be 3-Calabi-Yau. As an application, we recover two families of 3-Calabi-Yau algebras recently appeared in the literature, by studying skew polynomial algebras over non-commutative quadrics.

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Roland Berger, Andrea Solotar. 2013-01-11. A criterion for homogeneous potentials to be 3-Calabi-Yau. https://arxiv.org/abs/1203.3029

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