Moduli of non-commutative polarized schemes

作者：Behrend K.; Noohi B.^*

来源：Mathematische Annalen, 2018, 371(3-4): 1375-1408.

DOI：10.1007/s00208-017-1624-1

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 -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.

• 出版日期2018-8