The Auslander-Reiten quiver of a simple curve singularity
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- by Ernst Dieterich and Alfred Wiedemann PDF
- Trans. Amer. Math. Soc. 294 (1986), 455-475 Request permission
Abstract:
With any simple curve singularity (plane, complex, affine-algebraic) of Dynkin-type $\Delta$ we associate the category of all finitely generated torsionfree modules over its complete local ring. For each of these module categories we calculate the Auslander-Reiten quiver. We suggest the construction of the “twisted quiver” of a quiver with involution and valuation of arrows which gives rise to a (purely combinatorial) one-to-one correspondence between the Auslander-Reiten quiver and the Dynkin diagram $\Delta$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 294 (1986), 455-475
- MSC: Primary 14H20; Secondary 13C05, 16A64
- DOI: https://doi.org/10.1090/S0002-9947-1986-0825715-X
- MathSciNet review: 825715