2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65016This is a resume of the author's talk at the Worhshop on Arithmetic, Geometry and Physics around Calabi-Yau Varieties and Mirror Symmetry (July 23-29, 2001), the Fields Institute. The aim of this note is to prove that birational smooth minimal models over C have equal Hodge numbers in all dimensions by an arithmetic method. Our method is a refinement of the method of V. Batyrev and C.-L. Wang on Betti numbers who used p-adic integration and the Weil conjecture. Our ingredient is to use further arithmetic results such as the Chebotarev density theorem and p-adic Hodge theory.14 pages, AMS LaTeX, remarks and references added, to appear in the Proceedings of Calabi-Yau Varieties and Mirror SymmetryNumber TheoryAlgebraic Geometry11R42; 11S80; 14E05text