212 citations · 434 across the 3 of their papers we have counts for
3 papers
math.AG2002★ 212 cited
Derived categories of coherent sheaves
Alexei Bondal, Dmitri Orlov
We show how derived categories build bridges across the current mathematical mainstream, linking geometric and algebraic, commutative and noncommutative, local and global banks. Ar…
math.AG2002★ 79 cited
Generators and representability of functors in commutative and noncommutative geometry
Alexei Bondal, Michel Van den Bergh
We give a sufficient condition for an Ext-finite triangulated category to be saturated. Saturatedness means that every contravariant cohomological functor of finite type to vector…
alg-geom1997★ 143 cited
Reconstruction of a variety from the derived category and groups of autoequivalences
A. Bondal, D. Orlov
We consider smooth algebraic varieties with ample either canonical or anticanonical sheaf. We prove that such a variety is uniquely determined by its derived category of coherent s…