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Blow-up rings and rational singularities

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Abstract:

Let A be a normal local ring which is essentially finite type over a field of characteristic zero. Let I⊂A be an ideal such that the Rees algebra R A (I) is Cohen–Macaulay and normal. In this paper we address the question: “When does R A (I) have rational singularities?” In particular, we study the connection between rational singularities of R A (I) and the adjoint ideals of the powers I n (n∋ℕ).

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Authors and Affiliations

  1. National Defence College, Santahamina, FIN-00860 Helsinki, Finland.¶e-mail: Eero.Hyry@Helsinki.FI, , , , , , FI

    Eero Hyry

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  1. Eero Hyry
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Received: 25 May 1998 / Revised version: 20 August 1998

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Hyry, E. Blow-up rings and rational singularities. manuscripta math. 98, 377–390 (1999). https://doi.org/10.1007/s002290050147

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  • DOI: https://doi.org/10.1007/s002290050147

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