Abstract
We show that the Hilbert–Kunz multiplicity of a d-dimensional non-regular complete intersection over F p ¯ , p > 2 prime, is bounded by below by the Hilbert–Kunz multiplicity of ∑ i = 0 d x i 2 = 0 , answering positively a conjecture of Watanabe and Yoshida in the case of complete intersections.
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