Journal of Differential Geometry
- J. Differential Geom.
- Volume 60, Number 2 (2002), 345-354.
Cohomology Theory in Birational Geometry
This is a continuation of , 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 via motivic integration.
J. Differential Geom., Volume 60, Number 2 (2002), 345-354.
First available in Project Euclid: 20 July 2004
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Wang, Chin-Lung. Cohomology Theory in Birational Geometry. J. Differential Geom. 60 (2002), no. 2, 345--354. doi:10.4310/jdg/1090351105. https://projecteuclid.org/euclid.jdg/1090351105