Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra

Kriti Goel, Mitra Koley, J. K. Verma

We prove that the Hilbert-Kunz function of the ideal $(I,It)$ of the Rees algebra $\mathcal{R}(I)$, where $I$ is an $\mathfrak{m}$-primary ideal of a $1$-dimensional local ring $(R…