Geometry of Periodic Modules over Tame Concealed and Tubular Algebras |
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Authors: | Grzegorz Bobiński Andrzej Skowroński |
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Institution: | (1) Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87–100 Toru, Poland |
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Abstract: | Let A be a tame concealed or tubular algebra and d 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
(d) of all A-modules of dimension-vector d is a normal complete intersection. Moreover, we show that a module M in mod
A
(d) is nonsingular if and only if Ext
A
2(M,M)=0. |
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Keywords: | periodic module module variety complete intersection normal variety |
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