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Self-dual modules over local rings of curve singularities

Jens Piontkowski

subject

Essential singularityPure mathematicsAlgebra and Number TheorySingularityPlane (geometry)Simple (abstract algebra)Mathematical analysisLocal ringGravitational singularityIsomorphismIndecomposable moduleMathematics

description

Abstract Let C be a reduced curve singularity. C is called of finite self-dual type if there exist only finitely many isomorphism classes of indecomposable, self-dual, torsion-free modules over the local ring of C . In this paper it is shown that the singularities of finite self-dual type are those which dominate a simple plane singularity.

yearjournalcountryeditionlanguage
2006-10-01Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2005.10.001