Moduli of non-commutative polarized schemes

Autor: Behrend, Kai, Noohi, Behrang
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv