On the stability of regular algebras
Algebraic Geometry
2016-03-02 v1 Rings and Algebras
Abstract
We characterize which quadratic regular algebras of global dimension 3 are stable in the sense of Behrend-Noohi. (This notion of stability is a non-commutative analogue of Hilbert stability.) We describe the quasi-projective stack of stable quadratic regular algebras of dimension 3. This provides the first non-trivial, non-commutative examples of stability a la Behrend-Noohi.
Keywords
Cite
@article{arxiv.1603.00411,
title = {On the stability of regular algebras},
author = {Kai Behrend and Junho Hwang},
journal= {arXiv preprint arXiv:1603.00411},
year = {2016}
}