Rational singularities and almost split sequences

Auslander, Maurice

doi:10.1090/S0002-9947-1986-0816307-7

Rational singularities and almost split sequences
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Trans. Amer. Math. Soc. 293 (1986), 511-531 Request permission

Abstract:

The main aim of this paper is to relate almost split sequences to singularity theory by showing that the McKay quiver built from the finite-dimensional representations of a finite subgroup $G$ of $\operatorname {GL} (2,{\mathbf {C}})$, where ${\mathbf {C}}$ is the complex numbers, is isomorphic to the $AR$ quiver of the reflexive modules of the quotient singularity associated with $G$.

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