73 citations · 99 across the 4 of their papers we have counts for
10 papers · 1 filter
Derived Categories of Toric Varieties
Yujiro Kawamata
We prove that the derived categories for toric varieties have complete exceptional collections.
Derived equivalence for stratified Mukai flop on G(2,4)
Yujiro Kawamata
We prove that there is a derived equivalence for stratified Mukai flop on G(2,4).
Log Crepant Birational Maps and Derived Categories
Yujiro Kawamata
We extend the conjecture on the derived equivalence and K-equivalence to the logarithmic case and prove it in the toric case.
Termination of log flips in dimension 4
Yujiro Kawamata
This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.
D-equivalence and K-equivalence
Yujiro Kawamata
Let and be smooth projective varieties over . They are called {\it -equivalent} if their derived categories of bounded complexes of coherent sheaves are equi…
Francia's flip and derived categories
Yujiro Kawamata
We extend some of the results of Bondal-Orlov on the equivalence of derived categories to the case of orbifolds by using the category of coherent orbifold sheaves.