2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74193We show that the Hilbert-Kunz multiplicity of a $d$-dimensional nonregular complete intersection over the algebraic closure of $F_p$, $p>2$ prime, is bounded by below by the Hilbert-Kunz multiplicity of the hypersurface $\sum _{i=0}^{d} x_i^2=0$, answering positively a conjecture of Watanabe and Yoshida in the case of complete intersections.14 pages, preprint version, final version to appear in Journal of Algebra, 285, no 1, 222-237Commutative Algebra13D10, 13A35, 13H15text