A view toward smooth geometry of Sklyanin algebras

Published 26 Jul 2025 in math.DG, math.AG, and math.RA | (2507.19719v1)

Abstract: We study the differential smoothness of Sklyanin algebras in three and four variables. We show that all non-degenerate three-dimensional cases are differentially smooth, while none of the four-dimensional Sklyanin algebras admit a connected integrable differential calculus of suitable dimension.

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