Birational Smooth Minimal Models Have Equal Hodge Numbers in All Dimensions
نویسنده
چکیده
In this paper, we 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 Batyrev 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.
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