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A characterisation of strictly unimodular plane curve singularities

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Singularities, Representation of Algebras, and Vector Bundles

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1273))

Abstract

Let R be the local ring of a reduced plane curve singularity. It is shown that R is the ring of a strictly unimodular singularity if and only if it admits finitely many at most 1-parameter families of isomorphism classes of torsion free rank 1 modules.

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References

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Gert-Martin Greuel Günther Trautmann

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© 1987 Springer-Verlag

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Schappert, A. (1987). A characterisation of strictly unimodular plane curve singularities. In: Greuel, GM., Trautmann, G. (eds) Singularities, Representation of Algebras, and Vector Bundles. Lecture Notes in Mathematics, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078843

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  • DOI: https://doi.org/10.1007/BFb0078843

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18263-4

  • Online ISBN: 978-3-540-47851-5

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