Cohomology Theory in Birational Geometry
نویسنده
چکیده
This is a continuation of [10], where it was shown that K-equivalent complex projective manifolds have the same Betti numbers by using the theory of p-adic integrals and Deligne’s solution to the Weil conjecture. The aim of this note is to show that with a little more book-keeping work, namely by applying Faltings’ p-adic Hodge Theory, our p-adic method also leads to the equivalence of Hodge numbers – a result which was previously known by using motivic integration.
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