D-Equivalence and K-Equivalence

Kawamata, Yujiro

J. Differential Geom., Tome 60 (2002) no. 1, p. 147-171 / Harvested from Project Euclid

Résumé

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.

Publié le : 2002-05-14
Classification:

@article{1090351323,
     author = {Kawamata, Yujiro},
     title = {D-Equivalence and K-Equivalence},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 147-171},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090351323}
}

Kawamata, Yujiro. D-Equivalence and K-Equivalence. J. Differential Geom., Tome 60 (2002) no. 1, pp.  147-171. http://gdmltest.u-ga.fr/item/1090351323/