Open Access
May, 2002 D-Equivalence and K-Equivalence
Yujiro Kawamata
J. Differential Geom. 61(1): 147-171 (May, 2002). DOI: 10.4310/jdg/1090351323


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.


Download Citation

Yujiro Kawamata. "D-Equivalence and K-Equivalence." J. Differential Geom. 61 (1) 147 - 171, May, 2002.


Published: May, 2002
First available in Project Euclid: 20 July 2004

zbMATH: 1056.14021
MathSciNet: MR1949787
Digital Object Identifier: 10.4310/jdg/1090351323

Rights: Copyright © 2002 Lehigh University

Vol.61 • No. 1 • May, 2002
Back to Top