Corrigendum to "Degenerate Sklyanin algebras and Generalized Twisted Homogeneous Coordinate rings", J. Algebra 322 (2009) 2508-2527

TL;DR

This paper corrects an earlier error in the computation of truncated point schemes for degenerate Sklyanin algebras, providing accurate descriptions and discussing the associated point parameter rings.

Contribution

It offers the corrected structure of truncated point schemes for degenerate Sklyanin algebras and analyzes the related point parameter rings, rectifying previous inaccuracies.

Findings

Corrected description of truncated point schemes

Accurate characterization of point parameter rings

Clarification of the algebraic structure involved

Abstract

There is an error in the computation of the truncated point schemes of the degenerate Sklyanin algebra S(1, 1, 1); they are larger than was claimed in Proposition 3.13 of the above paper. We provide a description of the correct truncated point schemes. Results about the corresponding point parameter ring associated to these schemes are given afterward.