Geometry of Periodic Modules over Tame Concealed and Tubular Algebras
by Bobiński, Grzegorz; Skowroński, Andrzej
Let A be a tame concealed or tubular algebra and the dimension-vector of a periodic module with respect to the action of the Auslander–Reiten translation. We prove that the affine variety mod
A
() of all A-modules of dimension-vector is a normal complete intersection. Moreover, we show that a module M in mod
A
() is nonsingular if and only if Ext
A
2(M,M)=0.
DOI: 10.1023/A:1015606729502
Print publication date: 5/1/2002
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