Hochschild cohomology of noncommutative planes and quadrics
Algebraic Geometry
2019-09-17 v2 Rings and Algebras
Abstract
We give a description of the Hochschild cohomology for noncommutative planes (resp. quadrics) using the automorphism groups of the elliptic triples (resp. quadruples) that classify the Artin-Schelter regular -algebras used to define noncommutative planes and quadrics. For elliptic triples the description of the automorphism groups is due to Bondal-Polishchuk, for elliptic quadruples it is new.
Keywords
Cite
@article{arxiv.1705.06098,
title = {Hochschild cohomology of noncommutative planes and quadrics},
author = {Pieter Belmans},
journal= {arXiv preprint arXiv:1705.06098},
year = {2019}
}
Comments
27 pages, accepted for publication in Journal of Noncommutative Geometry