Self-dual modules over local rings of curve singularities (Q2504385)

Let \(R\) be the complete local ring of a reduced curve singularity with residue field of characteristic \(0\). \(R\) is called of finite self-dual type if there exist only finitely many isomorphism classes of indecomposable, self-dual, torision-free \(R\)-modules. It is proved that \(R\) is of finite self-dual type if and only if \(R\) dominates the complete local ring of a plane ADE-singularity.