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On the Gorenstein property of Rees Algebras

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Abstract

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.

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Herrmann, M., Ikeda, S. On the Gorenstein property of Rees Algebras. Manuscripta Math 59, 471–490 (1987). https://doi.org/10.1007/BF01170849

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  • DOI: https://doi.org/10.1007/BF01170849

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