Date of Award
Open Access Dissertation
A celebrated theorem of Buchweitz, Greuel, Knörrer, and Schreyer is that the hypersurface singularities of finite representation type, i.e. the hypersurface singularities admitting only finitely many indecomposable maximal Cohen-Macaulay modules, are exactly the ADE singularities. The codimension 2 singularities that are the analogs of the ADE singularities have been classified by Frühbis-Krühger and Neumer, and it is natural to expect an analogous result holds for these singularities. In this paper, I will present a proof that, in contrast to hypersurfaces, Frühbis-Krühger and Neumer’s singularities include a subset of singularities of infinite representation type.
Lewis, T.(2017). A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type. (Doctoral dissertation). Retrieved from http://scholarcommons.sc.edu/etd/4063