Birational smooth minimal models have equal Hodge numbers in all dimensions

Name: Work Video:
Duration: 3 min 30 s
Description: 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.
Tetsushi Ito
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