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arXiv · 1603.00411

On the stability of regular algebras

Kai Behrend·Junho Hwang
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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.

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Kai Behrend, Junho Hwang. 2016-03-01. On the stability of regular algebras. https://arxiv.org/abs/1603.00411

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