Blow-up rings and rational singularities
- Cite this article as:
- Hyry, E. manuscripta math. (1999) 98: 377. doi:10.1007/s002290050147
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 RA(I) is Cohen–Macaulay and normal. In this paper we address the question: “When does RA(I) have rational singularities?” In particular, we study the connection between rational singularities of RA(I) and the adjoint ideals of the powers In (n∋ℕ).