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

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

2012-03-14

arxiv.org/abs/1203.3029v2

Mathematics

Rings and Algebras

Theorem 1.1 (Theorem 2.7) and Corollary 1.2 (Proposition 4.1) are slightly improved. Minor corrections in the rest

Scientific paper

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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