Journal of Differential Geometry
- J. Differential Geom.
- Volume 61, Number 1 (2002), 147-171.
D-Equivalence and K-Equivalence
Let X and Y be smooth projective varieties over ℂ. They are called D-equivalent if their derived categories of bounded complexes of coherent sheaves are equivalent as triangulated categories, and K-equivalent if they are birationally equivalent and the pull-backs of their canonical divisors to a common resolution coincide. We expect that the two equivalences coincide for birationally equivalent varieties. We shall provide a partial answer to the above problem in this paper.
J. Differential Geom., Volume 61, Number 1 (2002), 147-171.
First available in Project Euclid: 20 July 2004
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Kawamata, Yujiro. D -Equivalence and K -Equivalence. J. Differential Geom. 61 (2002), no. 1, 147--171. doi:10.4310/jdg/1090351323. https://projecteuclid.org/euclid.jdg/1090351323