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Notes on Hilbert-Kunz Multiplicity of Rees Algebras

Notes on Hilbert-Kunz Multiplicity of Rees Algebras

Abstract In this paper, we estimate the Hilbert-Kunz multiplicity of the (extended) Rees algebras in terms of some invariants of the base ring. Also, we give an explicit formula for the Hilbert-Kunz multiplicities of Rees algebras over Veronese subrings.