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, Volume 59, Issue 4, pp 471–490 | Cite as

On the Gorenstein property of Rees Algebras

  • Manfred Herrmann
  • Shin Ikeda


Let (A,M) be a noetherian local ring. For certain equimultiple ideals I in A we try to relate the Gorenstein property of the Rees algebra⊕n and of A itself. In particular we n≥0 treat the case of equimultiple prime ideals of height two and the case I=M. The results underscore a natural conjecture, s. Thm. 2.6. and 3.2.


Number Theory Algebraic Geometry Prime Ideal Topological Group Local Ring 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Manfred Herrmann
    • 1
  • Shin Ikeda
    • 2
  1. 1.Mathematisches Institut der Universität zu KölnKöln 41West Germany
  2. 2.Department of MathematicsGifu College of EducationGifuJapan

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