A criterion for homogeneous potentials to be 3-Calabi-Yau
Rings and Algebras
2013-01-14 v3
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.
Keywords
Cite
@article{arxiv.1203.3029,
title = {A criterion for homogeneous potentials to be 3-Calabi-Yau},
author = {Roland Berger and Andrea Solotar},
journal= {arXiv preprint arXiv:1203.3029},
year = {2013}
}
Comments
Theorem 1.1 and its proof are revised. Minor corrections in the rest of the text