Moduli of non-commutative polarized schemes
Algebraic Geometry
2015-07-28 v1 Rings and Algebras
Abstract
We construct, using geometric invariant theory, a quasi-projective Deligne-Mumford stack of stable graded algebras. We also construct a derived enhancement, which classifies twisted bundles of stable graded A-infinity-algebras. The tangent complex of the derived scheme is given by graded Hochschild cohomology, which we relate to ordinary Hochschild cohomology. We obtain a version of Hilbert stability for non-commutative projective schemes.
Keywords
Cite
@article{arxiv.1507.07054,
title = {Moduli of non-commutative polarized schemes},
author = {Kai Behrend and Behrang Noohi},
journal= {arXiv preprint arXiv:1507.07054},
year = {2015}
}