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Original Articles

Quasihomogeneity of Curves and the Jacobian Endomorphism Ring

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Pages 861-870 | Received 22 Jan 2013, Published online: 22 Oct 2014

REFERENCES

  • Anosov , D. V. , Arnol'd , V. I. (eds.) ( 1988 ). Dynamical Systems. I, Encyclopaedia of Mathematical Sciences . Vol. 1 . Berlin : Springer-Verlag. Ordinary differential equations and smooth dynamical systems .
  • de la Mata , F. D. (1988). Gorenstein curves and symmetry of the semigroup of values. Manuscripta Math. 61:285–296.
  • Greuel , G.-M. , Martin , B. , Pfister , G. ( 1985 ). Numerische Charakterisierung quasihomogener Gorenstein-Kurvensingularitäten . Math. Nachr. 124 : 123 – 131 .
  • Huneke , C. , Swanson , I. ( 2006 ). Integral Closure Of Ideals, Rings, and Modules . London Mathematical Society Lecture Note Series , Vol. 336 . Cambridge : Cambridge University Press .
  • Kersken , M. ( 1984 ). Reguläre differentialformen . Manuscripta Math. 46 ( 1–3 ): 1 – 25 .
  • Kunz , E. , Ruppert , W. ( 1977 ). Quasihomogene Singularitäten algebraischer Kurven . Manuscripta Math. 22 ( 1 ): 47 – 61 .
  • Kunz , E. ( 1970 ). The value-semigroup of a one-dimensional Gorenstein ring . Proc. Amer. Math. Soc. 25 : 748 – 751 .
  • Kunz , E. , Waldi , R. ( 1988 ). Regular Differential Forms . Contemporary Mathematics , Vol. 79 . Providence , RI : American Mathematical Society .
  • Lipman , J. ( 1969 ). On the Jacobian ideal of the module of differentials . Proc. Amer. Math. Soc. 21 : 422 – 426 .
  • Oneto , A. , Zatini , E. ( 1987 ). Jacobians and differents of projective varieties . Manuscripta Math. 58 ( 4 ): 487 – 495 .
  • Piene , R. ( 1979 ). Ideals Associated to a Desingularization . Algebraic geometry (Proc. Summer Meeting, Univ. Copenhagen, Copenhagen, 1978). Lecture Notes in Math. , Vol. 732 . Berlin : Springer , pp. 503 – 517 .
  • Saito , K. ( 1971 ). Quasihomogene isolierte Singularitäten von Hyperflächen . Invent. Math. 14 : 123 – 142 .
  • Schulze , M. ( 2013 ). Saito's Normal Crossing Condition. arXiv.org/1311.3795 .
  • Seidenberg , A. ( 1966 ). Derivations and integral closure . Pacific J. Math. 16 : 167 – 173 .
  • Scheja , G. , Wiebe , H. ( 1973 ). Über Derivationen von Lokalen Analytischen Algebren . Symposia Mathematica , Vol. XI (Convegno di Algebra Commutativa, INDAM, Rome, 1971). London : Academic Press , pp. 161 – 192 .
  • Vasconcelos , W. V. ( 1991 ). Computing the integral closure of an affine domain . Proc. Amer. Math. Soc. 113 ( 3 ): 633 – 638 .
  • Communicated by U. Walther.

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