F-rationality of Rees algebras

Abstract

In this paper, we study the F-rationality of the Rees algebra and the extended Rees algebra of m-primary ideals in excellent local rings (R, m) of prime characteristic. We partially answer some conjectures and questions raised by N. Hara, K.-i. Watanabe and K.-i. Yoshida (J. Algebra, pp.153--190, vol 247, 2002).

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