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The Grothendieck group of invariant rings and of simple hypersurface singularities

Research-Articles Singularities

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

Keywords

  • Exact Sequence
  • Maximal Ideal
  • Grothendieck Group
  • Finite Subgroup
  • Invariant Ring

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References

  1. M. Auslander and I. Reiten, Grothendieck groups of algebras and orders, Journal of Pure and Applied Algebra 39 (1986) 1–51

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  2. N. Bourbaki, Algèbre commutative, Chapitre 7, Hermann, Paris, 1965

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  3. E. Brieskorn, Rationale Singularitäten komplexer Flächen, Inventiones math. 4 (1968) 336–358

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  4. F. Klein, Vorlesungen über das Ikosaeder und die Auflösung der Glei chungen vom fünften Grad, Leipzig (1884)

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  5. H. Knörrer, Maximal Cohen-Macaulay modules on hypersurface singularities I, in preparation

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  6. B. Singh, Invariants of finite groups acting on local unique factorization domains, Journal of the Indian Math. Soc. 34 (1970) 31–38

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© 1987 Springer-Verlag

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Herzog, J., Sanders, H. (1987). The Grothendieck group of invariant rings and of simple hypersurface 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/BFb0078840

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  • DOI: https://doi.org/10.1007/BFb0078840

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18263-4

  • Online ISBN: 978-3-540-47851-5

  • eBook Packages: Springer Book Archive