Journal of Noncommutative Geometry
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Published online: 2019-07-25
Hochschild cohomology of noncommutative planes and quadricsPieter Belmans (1) Universität Bonn, Germany
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 $\mathbb Z$-algebras used to define noncommutative planes and quadrics. For elliptic triples the description of these automorphism groups is due to Bondal–Polishchuk, for elliptic quadruples it is new.
Keywords: Noncommutative algebraic geometry, noncommutative planes, Hochschild cohomology
Belmans Pieter: Hochschild cohomology of noncommutative planes and quadrics. J. Noncommut. Geom. 13 (2019), 769-795. doi: 10.4171/JNCG/338